Answer:
28
Step-by-step explanation:
x + 7 = 35
subtract 7
x = 28
How do you classify the type of discontinuity?
There are three types of discontinuity.
Jump DiscontinuityInfinite DiscontinuityRemovable DiscontinuityIf a function f(x) is not continuous at a point 'a' in its domain D, it is said to be discontinuous at that location. A point of discontinuity of the function is thus referred to as point "a."
Any of the following scenarios might cause the discontinuity:
A function's right-hand limit, left-hand limit, or both limits might not exist.There may be a right-hand limit and a left-hand limit to function, but they are not equal.It is possible for a function to have both a right-hand limit and a left-hand limit, although neither limit necessarily has to equal f. (a).Two forms of Jump discontinuity exist:Discontinuity of the First Type: If the right hand of the function exists but is not equal to f, then the function f(x) is said to have a discontinuity of the first kind from the right at x = a. (a). The Left-Hand Limit and the Right-Hand Limit both exist in Jump Discontinuity and are finite, but they are not equivalent to one another.
Discontinuity of the Second Type: If a function f(x) at x = a has neither a left-hand limit nor a right-hand limit, it is said to have discontinuity of the second kind.
If the left-hand limit at x tends to point 'a' is equal to the right-hand limit at x tends to point 'a,' but their common value is not equal to f, then the function f(x) has a removable discontinuity at x = a. (a).One or both of the right hand and left hand limits are either infinite or nonexistent in infinite discontinuity. It also goes by the name of "Essential Discontinuity."To know more about discontinuity refer to:
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Discontinuity of the First Type: If the right hand of the function exists but is not equal to f, then the function f(x) is said to have a discontinuity of the first kind from the right at x = a. (a). The Left-Hand Limit and the Right-Hand Limit both exist in Jump Discontinuity and are finite, but they are not equivalent to one another.
How do you solve and graph inequalities in algebra?
The graph of a two-variable inequality is the set of points that describe all solutions to the inequality.
What are the steps to graphing an inequality?The coordinate plane is split in half by a boundary line created by a linear inequality, with one-half representing the solutions to the inequality.
Step 1: Always begin by separating the variable y from the inequality's left side.
Step 2: Replace the symbol for inequality with that for equality.
Step 3: In the xy plane, graph the boundary line from step 2. You are creating the boundary line that would divide or cut the xy-plane into two sections in this stage.
Step 4: Shading one side or area of the boundary line is the final step.
Step 5: Use this optional step to check or confirm that you have shaded the boundary line's side appropriately.
Here show an example for better understanding:
Let us take a equation, 4x + 8y ≤ -24
Now, solve the above equation in the form of slope-intercept.
4x + 8y ≤ -24
or, 8y ≤ - 4x - 24
or, y ≤ -(1/2)x - 3
This side of the inequality is shaded below (instead of above) because y is lower than (or equal to) the other side.Because working with a "or equal to" inequality, draw a solid line rather than a dashed one. Points on the solid line denote locations where the inequality has been solved.To know more about inequality refer to:
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Solve for the constant of variation, k. z varies jointly as x and y. x = 3, when y = -8 and z = 6.
Answer:
k = -0.25
Step-by-step explanation:
If z varies jointly, that means z = k * x * y
putting in the numbers it gives us,
6 = k * (3) * (-8)
6 = k * (-24)
k = -(1/4) = -0.25
How do you know if an image is congruent?
Answer:
One of them must be a mirror image of the other
Step-by-step explanation:
Two shapes are congruent if one is a mirror shape of the other or if both have the same size.
What is the angle opposite to the side lm of LMN?
In the triangle LMN, the angle opposite side LM is indicated by the supplied figure as being ∠N.
What do we mean by angles?
An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.
The Latin word "angulus," which means "corner," is the source of the English term "angle."
The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.
An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively.
So, according to the given figure, the angle opposite to side LM in triangle LMN is ∠n.
Therefore, in the triangle LMN, the angle opposite side LM is indicated by the supplied figure as being ∠N.
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3 more, please answer question
The required value of the C in the algebraic measure of the angles is 61.
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
here,
The property of the triangle states that the sum of the remote interior angles is equal to the exterior angle,
So, adding c - 18 and c -15 will be equal to c +28
c - 18 + c - 15 = c + 28
c = 28 + 33
c = 61
Thus, the required value of the C in the algebraic measure of the angles is 61.
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Which theory would be an example of discontinuity?
Discontinuity function is an explanation of development that emphasizes sudden changes or shifts, rather than gradual progressions, in development. Examples include Piaget’s stages of cognitive development and Erikson’s psychosocial stages.
Discontinuity function is an explanation of development that emphasizes sudden changes or shifts, rather than gradual progressions, in development. This theory suggests that development does not occur in an orderly, linear fashion, but instead involves abrupt changes in which an individual moves from one distinct stage to the next. Examples of discontinuity theory include Piaget’s stages of cognitive development and Erikson’s psychosocial stages, which are made up of distinct stages of development that an individual must progress through before reaching the next stage. According to discontinuity theory, development is not a gradual, continuous process, but rather is made up of distinct stages with abrupt changes in between. This theory has been useful in helping to explain the development of various aspects of an individual, such as cognitive, social, and emotional development.
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which of these is an example of a literal equation:
A: AX-BY=K
B: 5X+9Y
C: 4+12= 4²
D: 8-2X=14
Among the given equation, AX - BY = K is the example of a literal equation.
What is literal equation?
A literal equation is one that is mostly made up of letters. Examples of literal equations include formulas. Every variable in the equation "literally" represents a crucial aspect of the overall relationship that the equation expresses. The letter "L" stands for the rectangle's one side's length.
Given equations are:
A. AX - BY = K: is a literal equation as per definition.
B. 5X + 9Y: is not an equation.
C. 4 + 12= 4^2: it is not an equation.
D.8 - 2x = 14: it is not an equation. It is a linear equation with variable 'x'.
Hence, among the given equation, AX - BY = K is the example of a literal equation.
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Select the correct answer from each drop-down menu. ∆abc has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices. the measure of the longest side of ∆abc is units. ∆abc is triangle. if ∆abd is formed with the point d(1, 2) as its third vertex, then ∆abd is triangle. the length of side ad is units.
As per the distance formula, the longest side of triangle ABC is AB and the difference point is 9.1 units.
The formula to calculate the distance of two coordinates is written as
=> d = √(x2 - x1)² + (y2 - y1)²
where (x1, y1) and (x2, y2) are the coordinates.
Here we have given that ∆ABC has the points a(1, 7), b(-2, 2), and c(4, 2) as its vertices.
And we need to find the measure of the longest side of ∆ABC is units.
Here we have to take the points A and B and then we need to find the distance for the points AB,
AB = √(-2 - 7)² + (2 - 1)²
AB = √(-9)² + (1)²
AB = √81 + 1
AB = √82 = 9.1
Now, we have to take the next two points, and then we have to find the distance between the points,
BC = √(4 - (-2))² + (2 - 2)²
BC = √(6)² + (0)²
BC = √36 + 0
BC = √36 = 6
Finally, we have to calculate the distance between the point C and A then we get,
CA = √(7 - 4)² + (1 - 2)²
CA = √(3)² + (-1)²
CA = √9 + 1
CA = √10 = 3.2
While looking into the given distance we have identified the the point AB has the longest side.
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What are types of expressions?
Types of expressions in math:
1. Algebraic Expressions: An expression that consists of numbers, symbols and operators (like +, -, ×, ÷) put together to represent a mathematical equation. 2. Trigonometric Expressions: An expression that consists of trigonometric functions (like sine, cosine, tangent, etc.) and constants.3. Logarithmic Expressions: An expression that consists of logarithmic functions (like log, ln, etc.) and constants.4. Exponential Expressions: An expression that consists of exponential functions (like e, a^x, etc.) and constants.5. Factorial Expressions: An expression that consists of factorial functions (like n!, etc.) and constants.6. Polynomial Expressions: An expression that consists of polynomial functions (like x^2, x^3, etc.) and constants.7. Rational Expressions: An expression that consists of rational functions (like 1/x, 1/x^2, etc.) and constants.Math expressions:The types of expressions in math listed above are all valid and commonly used expressions in mathematics. Algebraic expressions are used to represent equations, while trigonometric, logarithmic, exponential, factorial, polynomial and rational expressions are used to represent different types of functions.
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Find the distance between the two points rounding to the nearest tenth (if necessary). (-7, 0) and (-3, 8)
Answer: 8.9 units
Step-by-step explanation:
We can use the distance formula for a 2d plane:
distance = √[tex](x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]
Plugging in our values for x1, y1, x2, and y2:
x1 = -7
y1 = 0
x2 = -3
y2 = 8
√[tex](-3 - -7)^2 + (8 - 0)^2[/tex]
= √[tex](4)^2 + (8)^2[/tex]
= √[tex]16 + 64[/tex]
= √[tex]80[/tex]
= [tex]8.944271921[/tex]
= 8.9 rounded to the 10th
Does △abc appear to be the same size and shape as △xyz? explain.
Yes, △ ABC appears to be the same size and shape as △ XYZ by SAS similarity, and △ ABC can be mapped by translation and rotation, so option A is correct
What is triangle?
Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol and consists of three connected vertices.
Right triangles ABC and XYZ. ABC has a shorter leg equal to 5 and a hypotenuse equal to 13,
The triangles ABC and XYZ are similar by SAS similarity, as,
AC = XZ = 5,
AB = YZ = 13
∠ ACB = ∠ XZY
When you translate and then rotate triangle ABC, you will get triangle XYZ.
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edward received a gift card for $85 to a movie theater. he may use the gift card for either admission tickets or snacks. tickets cost $7.50 and his favorite snack costs $3.75. if he wants to use his gift card for at least 15 individual purchases, which is a combination of tickets and snacks edward may purchase? (5 points) 7 tickets and 8 snacks 10 tickets and 6 snacks 8 tickets and 6 snacks 11 tickets and 3 snacks
The answer choice which represents a combination of ticket and snacks Edward may purchase is; 7 tickets and 8 snacks.
Which combination of tickets and snacks can he purchase?The given word problem can be expressed as a system of equations as follows;
Let x = number of tickets and
Let y = number of snacks;
Therefore; the system of equations is;
x + y = 15.............(I)
7.50x + 3.75y = 85
The second equation can be expressed as follows;
2x + y = 68 / 3.........(II)
Therefore, by subtracting equation 1 from we have that;
x = 68/3 - 15
x = 7.667 tickets.
And y = 15 - 7.667
y = 7.333 snacks.
On this note, the best combination of tickets and snacks he can get is; 7 tickets and 8 snacks.
By checking; 7 tickets cost; $52.5 and 8 snacks cost; $30. Total = $52.5 + $30 = $82.5.
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help me again sorry if I am like.....
Answer:
6. X, Y and Z are different numbers. X is a factor of Y. Z is a multiple of Y. Which of the following is DEFINITELY true?
B. Z is divisible by X7. The following graph shows Vinit's journey as he cycled from his home to a park, 4 kilometers away in 800 seconds. Which of these can be said based on this graph?
B. He stopped at a place in between for 50 seconds,8. How many TENS must be added to 7 000 to make it 70 000.
(70 000 - 7 000) / 10 = 6 300C. 6 300Step-by-step explanation:
heart and star pls <3 brainliest will be appreciated <3(っ◔◡◔)っ -{ elyna s }-Austin went to the store to buy some chicken. The price per pound of the chicken is
$3.50 per pound and he has a coupon for $1.50 off the final amount. With the
coupon, how much would Austin have to pay to buy 3 pounds of chicken? Also, write
an expression for the cost to buy p pounds of chicken, assuming at least one pound is
purchased.
By using multiplication and subtraction, it can be calculated that-
Austin has to pay $9 for 3 pounds of chicken
Austin has to pay $(10.50 [tex]\times[/tex] p- 1.50) for p pounds of chicken
What is subtraction and multiplication?
To find how big or small one number is from the other, then the operation used is called subtraction of numbers
Repeated addition is called multiplication. Multiplication is used to find the product of two or more numbers
Here, subtraction and multiplication is used
Cost of one pound of chicken = $3.50
Cost of three pounds of chicken = $3.50 [tex]\times[/tex] 3 = $10.50
He has a coupon for $1.50 off the final amount.
Amount of money Austin has to pay for 3 pounds of chicken =
$(10.50 - 1.50) = $9
Amount of money Austin has to pay for p pounds of chicken =
$(10.50 [tex]\times[/tex] p- 1.50)
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3. Write < or > for each pair of numbers.
-6.48 -6.5
5.983 5.99
3.09. 3.01
-6.48 > -6.5
5.983 < 5.99
3.09 > 3.01
Hope it helps
Let f be the continuous function defined on [-4, 3] whose graph, consisting of three line segments and a semicircle centered at the origin, is given above.
The value of g(2) = -1/4 and the value of g(-2) = π/2 - 3/2
The graph of function g is having a point of inflection at x=-2 and x=0 and x = 1 because g''(x) = f'(x) changes at each of these values.
A function is basically a relation between two sets having a domain , range and a co-domain.
We can represent functions graphically by plotting their equations and putting the value of co- ordinates.
A graph consists of four quadrants two positive and two negative. It helps to visualize data in a clear manner and helps to present data more efficiently.
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What is the factor of x³ 13x² 32x 20?
The factors are (x + 1)(x + 2)(x + 10)
What is Factorization?The process of breaking down an entity—for instance, a number, a matrix, or a polynomial—into a product of another entity—or factors—that, when multiplied together, yield the original number, matrix, or other entity is referred to as factorization or factoring.
Given Equation x³ + 13x² + 32x + 20
so The value of x³ + 13x² + 32x + 20 is
x³ + x² + 12x² + 12x + 20x + 20
=x² (x+1) + 12x (x+1) + 20(x+1)
=(x + 1)(x² + 12x + 20)
=(x + 1)(x² + 10x + 2x + 20)
=(x + 1)[x(x + 10) + 2(x + 10)]
=(x + 1)(x + 2)(x + 10)
Hence the factors are (x + 1)(x + 2)(x + 10).
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The correct question is
Factorize x³ + 13x² + 32x + 20
1, Class - 12, Question, In any triangle ABC, if, A=30° B= 90 find. a:b:c.
Answer:
1:3:2
Step-by-step explanation:
Sum of triangle is 180°
A : B : C
30 : 90 : (180 -90 - 30)
30 : 90 : 60
1 : 3 : 2
I hope my answer helps you.
Thank you so much to whoever answers :)
They are two separate questions btw
What shape has 7 sides called?
Having seven sides, a heptagon is a polygon.It is also occasionally referred to as a septagon.
What is the name of the 7-sided shape? Having seven sides, a heptagon is a polygon.It is also occasionally referred to as a septagon, though this usage is not advised because it combines the Greek suffix -gon (from the Greek root gonia, which means "angle") with the Latin word sept- (derived from septua-, meaning "seven").Having seven sides, a heptagon is a polygon.It is also occasionally referred to as a septagon, though this usage is not advised because it combines the Greek suffix -gon (from the Greek root gonia, which means "angle") with the Latin word sept- (derived from septua-, meaning "seven").A two-dimensional shape called a heptagon has seven sides and seven angles.In two-dimensional geometry, it is a member of the polygon class.Polygons are closed geometric figures composed entirely of straight lines.
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What is the surface area of a 5 cm cube?
Answer:
A=6a2=6×(5)2=6×25=150cm2.
Step-by-step explanation:
What is the distance between the points 3 7 and 15 16 on a coordinate plane?
The distance between the points (3 ,7) and (15 ,16) on a coordinate plane is 15 units.
How to calculate distance between two points in coordinate plane?In coordinate geometry, every point is denoted by definite coordinates since every point is situated at a fixed distance from the origin point (0,0). Any two points on a coordinate space are situated at a constant distance since their coordinates are fixed with respect to the origin. A line segment has two endpoints, and the coordinates of the endpoints help to determine the length of the line segment. Let us suppose (x1,y1) and (x2,y2) are the two points on a coordinate space then the distance between these two points is given by the distance formula as per the below:
[tex]d = \sqrt{(x1 - x2)^2 + (y1 -y2)^2}[/tex]
Calculation:given points are (3 ,7) and (15 ,16).
(x1,y1) = (3,7) and (x2,y2) = (15,16)
We know that two points on a plane have a constant distance in between them, and the distance formula gives the distance between these two points.
d =[tex]\sqrt{(x1 - x2)^2 + (y1 - y2)^2}[/tex]
∴ d = √(3 - 15)^2 + (7 - 16)^2
∴ d = 15 unit.
The distance between the points (3 ,7) and (15 ,16) on a coordinate plane is 15 units.
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What are the terms of expression 4x² 3xy?
The terms of expression 4x² - 3xy are
(a) 4x² and -3xy
(b) 4x² and 3xy
(c) 4x² and -xy
(d) x² and xy
What are the terms of an expression?A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms. For example, in the expression 4 x + y, the two terms are 4 x and y. It is to be noted here that terms add up to form the expression.
What are the constant terms in the expression?Terms: a2,6a,and 9.
Variables: a2,a
Constants:9
Factors: a,a are the factors of term 1,-6 and a are the factors of term 2,and 9 is the factor of term 3.
Coefficients:1 is the coefficient of a2,-6 is the coefficient of a,and 9 is the coefficient of the constant term
Operators:- and+
Given, the expression is 4x² - 3xy.
We have to find the terms of the expression.
The terms are the numbers or the variables added together.
Each term in an algebraic expression is separated by a + sign or - sign.
Therefore, the terms in the given expression are 4x² and -3xy.
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How do you explain comparing numbers?
Comparing numbers in math is defined as a process or method in which one can determine whether a number is smaller, greater, or equal to another number according to their values.
What are comparing numbers?The number with more digits is the greater number. If two numbers are having the same number of digits, then compare the left-most digits of both numbers.Comparison of Numbers is the process that defines the similar properties between two numbers and identifies the number that is greater than, smaller than, or equal to another number. There are some basic signs or operators of comparison in Mathematics; they are greater than (>), less than (<), or equal sign (=).Comparison is the process that tells us the similar properties of different objects. This is the primary concept in Mathematics, which helps us describe whether the numbers are equal, or one is greater than or one is smaller than the other, in comparing two numbers. We can do fraction comparison, decimal comparison and also compare rational numbersIn Mathematics, there are three special symbols used in a comparison of numbers. The basic symbols used in the comparison of numbers are given below,Greater than (>)Less than (<)Equals to (=)Using the above symbols, we can compare two numbers of any type, such as natural numbers, whole numbers, integers, and decimal numbers, etc. Thus, the process of comparing and exploring the differences between the numbers is known as the Comparison of Numbers.To learn more about comparing numbers refers to:
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After reviewing the generated schedule on Wednesday, you notice your Pharmacy Technician, Abigail Gibson, isn't being scheduled at all during the week. Which of the following would cause this?
O Minimum Base Hours set to 10
O Availability is not entered
O Workstation Proficiencies are set to "low" for all Workstations
After reviewing the generated schedule on Wednesday, you notice your Pharmacy Technician, Abigail Gibson, isn't being scheduled at all during the week. The option that will cause this is B. Availability is not entered
Who are Pharmacy technicians?Pharmacy technicians check inventory and fill prescriptions. Pharmacy assistants assist pharmacists in dispensing prescription drugs to patients or medical professionals. Hospitals and retail pharmacies are where they primarily work.
In order to assist and support patients and guarantee they receive the best care, pharmacists collaborate with pharmacy technicians, who are medical professionals.
In addition to primary care, educational, military, or veterinary practices, pharmacy technicians can work in community (retail) pharmacies, hospital pharmacies, pharmaceutical production or sales in the pharmaceutical industry, prisons, and community (retail) pharmacies.
Based on the information illustrated, the correct option is B.
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How do you find the missing length of a rectangular pyramid?
You can extrapolate the volume formula to get the missing length of a pyramid with a rectangular base.
Explain the term rectangular pyramid?A solid having a rectangular base and triangle lateral faces is called to as a rectangular pyramid. The lateral faces of the a rectangular pyramid are triangular, however its base is rectangular. A pyramid's base may well be square as well as hexagonal in shape, but its sides are often triangular.Determine the volume of a pyramid with a rectangular base using this formula.
Volume (V) is determined by multiplying the base area by the height by one-third (H). Base area equals width (W) times length (L). V= 1/3 x. (LxWxH).Thus, using your algebraic skills, determine the formula again for missing length of a pyramid with a rectangular base.
L = V / (H x W) / 3.
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camilla and megan hung out at the mall on saturday. they spent 1 hour and 25 minutes shopping for clothes and 55 minutes at the food court. then they spent 2 hours and 35 minutes at the video arcade before heading home. if it was 12:55 p.m. when camilla and megan started shopping for clothes, what time was it when they left the mall?
It was 5:50 p.m. when Camilla and Megan left the mall.
Add 1 hour and 25 minutes to 12:55 p.m. to determine the time when Camilla and Megan finished shopping for clothes:
12:55 p.m. + 1 hour and 25 minutes = 2:20 p.m.
Add 55 minutes to 2:20 p.m. to determine the time when Camilla and Megan finished eating at the food court:
2:20 p.m. + 55 minutes = 3:15 p.m.
Add 2 hours and 35 minutes to 3:15 p.m. to determine the time when Camilla and Megan left the mall:
3:15 p.m. + 2 hours and 35 minutes = 5:50 p.m.
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How many numbers in 1000 are divisible by 3?
333 integers, there are 333 integers between 1 and 1,000 which are divisible by 3.
what is divisibility test?The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.
here
add all the numbers,
1 + 2+ 3 + 4+ 5 = 15
and 15/3 = 5
so it is divisible by 3
not by 9
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How do you find the domain and vertical asymptotes?
The domain of a function as described by the question, can be found by solving a given function for x such that the values of x satisfy the equation. And the vertical asymptotes can be found by solving for x values which make the equation go towards positive or negative infinity.
What is an asymptote?A straight line that continuously approaches a certain curve without ever meeting it is an asymptote. To put it another way, an asymptote is a line that a curve travels towards as it approaches infinity.
What is domain of a function?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set x.
As asked by the question, the domain of a function can be found by solving the equation f(x) = y for values of x such that the values of x give out a single value y. Similarly, the vertical asymptotes can be found from a rational function [tex]\frac{p(x)}{q(x)}[/tex] by equating the denominator q(x) to 0 and solving for x. i.e q(x) = 0.
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