What are the domain and range of this function?

What Are The Domain And Range Of This Function?

Answers

Answer 1
Answer: Choice DDomain: all real numbersRange: [tex]y \ge 1[/tex]

===========================================

Explanation:

The domain is the set of allowed x inputs. We can plug in any x value we want as the graph stretches on forever to the left and to the right. There aren't any division by zero errors or any issues like that to worry about, so that's why we don't kick out any x values from the domain.

The domain being all real numbers translates to the interval notation [tex](-\infty, \infty)[/tex] which is basically saying [tex]-\infty < x < \infty[/tex]

-----------------------------------

The range is the set of y outputs possible. The graph shows that y = 1 is the smallest y output, so y = 1 or y can be greater than this.

In short, [tex]y \ge 1[/tex] is the range which converts to the interval notation [tex][1, \infty)[/tex] which is the same as saying [tex]1 \le y < \infty[/tex]

-----------------------------------

Extra info:

The equation of this absolute value function is y = |x|+1


Related Questions

a line passes through the points (2,6) and (4,9) move an expression and a number

Answers

Answer:

General equation of line is y=mx+c where m is the slope

Slope of line parallel to x-axis is m=0

So y=(0)x+c⟹y=c

(−4,6) lies on our required line y=c

⟹6=0(−4)+c

⟹c=6

Equation of the line is y=6

Step-by-step explanation:

Which equation can be used to solve for c?

Triangle A B C is shown. Angle A C B is 90 degrees and angle A B C is 35 degrees. The length of C B is 5 inches, the length of A C is b, and the length of B A is c.

c = (5)cos(35o)
c = StartFraction 5 Over cosine (35 degrees) EndFraction
c = (5)sin(35o)
c = StartFraction 5 Over sine (35 degrees) EndFraction
Mark this and return

Answers

Answer:

5 no i am not preety sure though

Answer:

the answer is B on edge

Step-by-step explanation:

to the other person , .. that's not a fricking answer

Solve 8x + c = k for x.

Answers

Answer:

x = (k - c)/8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

8x + c = k

Step 2: Solve for x

[Subtraction Property of Equality] Subtract c on both sides:                         8x = k - c[Division Property of Equality] Divide 8 on both sides:                                 x = (k - c)/8

Answer:

[tex]x = \frac{k -c}{8}[/tex]

Step-by-step explanation:

[tex]8x + c = k\\\\8x + c-c = k -c \ \ \ \ \ \ \ \ \ [\ subtract \ c \ from \ both \ sides \ ]\\\\8x = k - c\\\\\frac{8x}{8} = \frac{k-c}{8} \ \ \ \ \ [ \ divide \ both \ sides\ by\ 8 \ ]\\\\x = \frac{k-c}{8}[/tex]

The following sample was collected during registration at a large middle school. At the 0.05 level of significance, can it be concluded that level of math is dependent on grade level?
Honors Math Regular Math General Math
6th Grade 34 45 15
7th Grade 37 49 13
8th Grade 29 45 17
Hypotheses:
H0: Level of math is independent of/dependent on grade level.
H1: Level of math is independent of/dependent on grade level.
Enter the expected matrix - round to 4 decimal places.

Answers

Solution :

The expected matrix is :

[tex]$E_i=\frac{(\text{row total } \times \text{column total})}{\text{grand total}}$[/tex]            Honors        Regular       General

     6 th grade                                       33.0986      46.0070      14.8944

     7 th grade                                       34.8592      48.4542       15.6866

     8 th grade                                       32.0423      44.5387       14.4190

Thus we can say that the level of math is not dependent on the grade level.

Therefore, the provided information is correct. Test Stat = 1.4007, p-value = 0.844070419

[tex]H_0[/tex] : The level of math is independent of the grade level.

[tex]H_1[/tex] : The level of math is dependent on the grade level.

Write the equation of the circle whose center is (-4,8) and has a diameter of 18

Answers

Answer:

(x + 4)^2 + (y - 8)^2 = 81

or

(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.

Step-by-step explanation:

The standard form for a circle is

(x + h)^2 + (y + k)^2 = r^2

r is the radius.

You are given the diameter

r = d/2

r = 18/2

r = 9

So you already have the right hand side of the equation

(x + h)^2 + (y + k)^2 = 9*2

(x + h)^2 + (y + k)^2 = 81

You basically have h and k as well. They come from the center point.

h = 4

k = - 8

So the equation of the circle (and the answer) is

(x + 4)^2 + (y - 8)^2 = 81

One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.

It is the distance formula that is actually the formula for the circle.

Which of the following is described by the notation AB || CD ?
A. Perpendicular lines
B. Intersecting lines
O C. Skew lines
D. Parallel lines



Answers

Answer:

D Parallel lines

Step-by-step explanation:

this is one of the easiest symbols there are.

2 little lines being perfectly parallel to each other. that symbolizes (surprise, surprise) that the two actually referenced lines are parallel.

The notation "AB || CD" represents parallel lines.

Explanation:

In geometry, parallel lines are lines that never intersect. They are always equidistant and maintain the same distance between each other at all points. The notation "AB || CD" indicates that line AB is parallel to line CD.

Perpendicular lines are lines that intersect at a 90-degree angle. The notation "AB || CD" does not represent perpendicular lines.

Intersecting lines are lines that cross or meet at a common point. The notation "AB || CD" does not represent intersecting lines.

Skew lines are lines that do not lie in the same plane and are neither parallel nor intersecting. The notation "AB || CD" does not represent skew lines.

Parallel lines are lines that do not intersect and maintain the same distance between each other at all points. The notation "AB || CD" explicitly indicates that line AB is parallel to line CD.

Learn more about Parallel line here:

https://brainly.com/question/29762825

#SPJ2

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x = 40°

Step-by-step explanation:

Reference angle = x°

Adjacent side length to reference angle = 7.2

Hypotenuse = 9.4

Apply trigonometric function CAH, which is:

Cos x = Adj/Hyp

Substitute

Cos x = 7.2/9.4

Cos x = 0.76596

[tex] x = cos^{-1}(0.76596) [/tex]

x = 40° (nearest tenth)

The nth term of a sequence is given by the rule 3n -1. What is the 10th term of the sequence?

Answers

Answer:

well, just put in 10 instead of n, after all we want the 10th, not the n'th

3*10 -1 = 29

simple as that.

hope it helps you. if you got further questions just put them in a comment:)

SOLVE EQUATION BY TAKING SQUARE ROOTS.
-100+81a^2=0

Answers

Answer:

a = ±10/9

Step-by-step explanation:

[tex]-100+81a^2=0\\81a^2=100\\a^2=\frac{100}{81}\\\sqrt{a^2}=\sqrt{\frac{100}{81} }\\a=10/9\\a=-10/9[/tex]

GOOD MORNING AND CONGRATULATIONS ON YOU GRADUATING :D

Choose all that correctly give the distance in the coordinate plane between two points.
(-5, 8), (5,8)
d = 10
(3,8), (3, -6)
d = 12
(-2,-9), (-2,4)
d = 13
(8, -7), (1, -7)
d = 9
(-12, -4), (-6, -4)
d = 6

Answers

d=10, d=13 and d=6 are correct

When the x-coordinates (or y-coordinates) match find the difference between the other values.

A right rectangular prism is made with 8 small cubes.
Each cube has an edge length of 1/5 inch.
What is the volume, in cubic inches, of the prism?.

Answers

Answer:

C. ⁸/125

Step-by-step explanation:

The volume of the right rectangular prism = 8 × volume of 1 cube

Volume of cube = a³

Where,

a = ⅕ inch

Volume of 1 cube = (⅕)³

= 1/125 cubic inch

✔️Volume of the rectangular prism = 8 × ¹/125

= ⁸/125 cubic inch

Find q. will give brainliest!!

Answers

Step-by-step explanation:

q=24 m

cause its congurent

q is 16 meters, it’s not exactly congruent because the triangles are similar not exact copies

Will mark Brainlest!!
Help Please!
(1). find the domain and range of the following

Answers

Answer:

Step-by-step explanation:

You have the domain. It is given as -1≤x≤1

Now all you have to do is figure out the range which is the y value. At first glance I think it might be 3, but that does not look very logical. I'll post this much of it now and be back in under an hour with a more complete answer.

Of course! How silly of me. There is a minimum of y = 1 in the range which comes from x = 0

I've included a graph so you can see how this all works.

So the range = 1 ≤ y ≤ 3

Can you help me please

Answers

Answer:

mid point=(x1 + x2)/2 (y1 + y2)/2

(-5+5)/2 and (-7+4)/2

0 and 1.5

midpoint=(0,1.5)

Which of the following is the product of 7/8 and -4/21?  a.- 1/6 b.1/12 c.- 16/21 d.- 147/32​

Answers

Answer:

A. -1/6

Step-by-step explanation:

7/8 × -4/217 can be divided by 21 wich will make the fraction -4/21 turn to -4/3 and the fraction 7/8 turn to 1/8-4 can be divided by eight which will make the fraction 1/8 turn to 1/2 and the fraction -4/3 will turn to -1/31/2 × -1/3 = -1/6

The product of 7/8 and -4/21 is a.- 1/6.

What is the product?

In mathematics, a product is the result of multiplication, or an expression that identifies factors to be multiplied.

Now the given numbers are,

7/8 and -4/21

now taking 7/8 and since 8= 4*2

so, 7/8 = 7/(4*2)

Again taking -4/28 and since 28 = 7*4

so, -4/21 = -4/(7*3)

hence the product of 7/8 and -4/21 is given as,

7/8*(-4/21) = 7/(4*2) x -4/(7*3)

taking alike terms together we get,

7/8*(-4/28) = (7/7)(4/4)(-1/2*3)

⇒ 7/8*(-4/28) = -1/6

Hence the correct option is a.-1/6

Therefore,The product of 7/8 and -4/21 is a.- 1/6.

Learn more about product :

https://brainly.com/question/1549083

#SPJ6

A total of 765 tickets were sold for the school play. They were either adults or students tickets. There were 65 more student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer: 350 adult tickets

Step-by-step explanation:

(omg I remember this question!)

a stands for the number of adult tickets sold

student tickets : a + 65

the equation for the prob:

765 = a + (a + 65)

solve:

combine 'like terms'

1.) 765 = a + a + 65

2.) 765 = 2a + 65

- 65         - 65

700= 2a

divide by 2

700/2 = 2a/2

(700/2 = 350)

(the "2" in 2a is cancelled out by the other 2)

350 = a

Find the equation of the line with m=6 and b = -7. Write the equation in slope intercept form.​

Answers

Answer: [tex]y=6x-7[/tex]

Step-by-step explanation:

We use the formula y=mx+b to put it into slope-intercept form

m=6 (slope)

b=-7 (y-intercept)

Therefore, the answer is y=6x-7

Which table represents a nonlinear function? ASAP

Answers

Answer:

The second table, the table in the middle.

Step-by-step explanation:

Since the x-values of all the tables differ by 1, the difference between the y-values must be constant in order for the table to be linear. In second table, the different between the first and second y-value (from top to bottom) is 3, however the difference between the second and third and third and fourth values are 1.5, which is not constant. Therefore, the second table is nonlinear.

write 600 as a product of it's primse factors

Answers

Answer:

2*2*2*3*5*5

or

2^3 *3* 5^2

Step-by-step explanation:

600  = 60*10

These are not prime so keep going, breaking 60 and 10 down

        = 6*10  * 5*2

6 and 10 are not prime so keep going ( 5 and 2 are prime)

    = 3*2  * 5*2  * 5*2

All of the numbers are prime, so we normally write them in order from smallest to largest

2*2*2*3*5*5

We can write with exponents

2^3 *3* 5^2

- The area of a rectangle can be found by using A
24w + w2, where w represents the
width. What is the width of the rectangle when the area is 3456 in.2 ?

Answers

Answer:

26w

Step-by-step explanation:

Help I am very bad at math I need answers by tomorrow if you can help please do​

Answers

Answer:

Step-by-step explanation:

(a - b)(a +b) = a² - b²

1 - Sin² A = Cos² A

[tex]LHS = \frac{1}{1- Sin A} + \frac{1}{1 + Sin A}\\\\= \frac{1*(1 + Sin A)}{(1- Sin A)(1 + Sin A)} + \frac{1*(1- Sin A)}{(1 + Sin A)(1- Sin A)}\\\\= \frac{1 + Sin A+ 1 - Sin A}{1^{2}- Sin^{2} A}\\\\= \frac{2}{1 - Sin^{2} A}\\\\= \frac{2}{Cos^{2} A}\\\\= 2 Sec^{2} A[/tex]

2)  Sec² A - Tan² A = 1

[tex]LHS = \frac{1}{Sec A - Tan A}\\\\=\frac{1*(Sec A + Tan A)}{(Sec A - Tan A)(Sec A + Tan A)}\\\\=\frac{Sec A + Tan A}{Sec^{2} A - Tan^{2} A}\\\\=\frac{Sec A + Tan A }{1}\\\\= Sec A + Tan A = RHS\\\\\\[/tex]

3) LHS  = Cosec² A + Cot² A

             = Cosec² A +  Cosec² A - 1

            = 2Cosec² A - 1   = RHS

[tex]4) LHS = \frac{Sec A}{Cos A}- \frac{Tan A}{Cot A}\\\\ = Sec A*\frac{1}{Cos A}-Tan A*\frac{1}{Cot A}\\\\ = Sec A * Sec A - Tan A * Tan A\\\\= Sec^{2} A - Tan^{2} A \\\\= 1[/tex]

Pls help I’ll brainlest

Answers

Answer:

B.) 0.00692

Step-by-step explanation:

6.92 x 10^-3

0.00692

The sum of six times a number and the quotient of that number and two is ten.

Answers

Yes it is why do you need help?

6x + x/2

Which algebraic expression best represents this word phrase?

The sum of six times a number and the quotient of that number and two

Possible answers, 35, 30, 90,64 ​

Answers

Answer:

30

Step-by-step explanation:

this is a right-angled triangle.

as we can see on the graph and the coordinate units,

AB = 4

BC = 7

=>

AC² = AB² + BC² = 4² + 7² = 16+49 = 65

AC = sqrt(65)

now, in every triangle there are certain ratios equal to each other.

a/sin(A) = b/sin(B) = c/sin(C)

a is here BC

b is here AC

c is here AB

and we know B = 90 degrees

sin(90) = 1

so, we have

sqrt(65)/1 = 4/sin(C)

sqrt(65) = 4/sin(C)

sin(C) = 4/sqrt(65) = 0.496138938...

C = 29.7448813...

the closest answer option is 30.

A bicycle has a listed price of $593.98 before tax. If the sales tax rate is 9.5%, find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.​

Answers

The answer should be $650.40. I hope this helps!

Finding the volume of the solid.Use unit cubes to help.

Answers

Answer:

the answer is 125. if you cut them slice to slice you'll get 25 because of there five slices of 25 all you got to do is 25 x 5 and you'll get 125.

Hope this help

Have a nice day :)

If bob gives away 7 blocks, he will have 12 left. How many blocks did he have originally

Answers

Answer:

h

Step-by-step explanation:

19 blocks

Answer:

original blocks  =19

Step-by-step explanation:

original blocks -7 =12

Add 7 to each side

original blocks -7+7 =12+7

original blocks  =19

Three friends got the prize money worth 36,000. The first friend would get three times the amount of the third friends portion. The third friend would get twice the amount of the second friends portion. Determine the amount that each friend would receive.

Answers

Answer: thats tuff

Step-by-step explanation:

the polynomial function f(x)=3x5-2x2+7x

Answers

Answer:

f(x)=7x+11

Step-by-step explanation:

15-4-7x= 7x+11. Sp y or f(x)= 7x+11

sorry I just replied for points :(((

a perpendicular bisect or, cd, is drawn through point c in ab.

if the coordinates of point a are (-3,2) and the coordinates of point b are (7,6), the x-intercept of cd is __. Point __ lies in CD

Answers

x-intercept = (18/5, 0)
If the coordinates of point A are (-3, 2) and the coordinates of point B are (7, 6), the x-intercept of Line CD is
( 3,0), (18/5,0), (9,0), or (42/2, 0),

Point (-52, 141), (-20, 57), (30, -71), or (54, -128) lies on Line CD.


m AB = 2 / 5
C = (2, 4)
m CD = -5 / 2

Equation of line passing though C and D

y = (-5/2)x + b
4 = (-5/2)(2) + b
4 = -5 + b
9 = b
y = (-5/2)x + 9


For the x-intercept y = 0
∴ y = (-5/2)x + 9
0 = (-5/2)x + 9
5/2 x = 9
x = 2/5 × 9
= 18/5
x-intercept = (18/5, 0)
Other Questions
I need help writing a paragraph The side view is a bookend is shown. The perimeter of the bookend is 58 centimeters Select two different types of cells found in the human body. Search the internet for a lightmicroscope view of your selected cells. For example, you might select human heartmuscle cells and human nerve cells. Other possibilities include, but are not limited to:Sperm cellsEgg cellsBone cellsLung cellsBrainPlease help due today emergency help me plsss plsssss An air-filled parallel-plate capacitor has plates of area 2.90 cm2 separated by 2.50 mm. The capacitor is connected to a(n) 18.0 V battery. PLS HELP ME SOLVE THIS2a 3 -2 - -4 * -9 = HELP I WILL GIVE BRAINLIEST! For "downhill" lines, if the rise is negative, the run must be? the figure has angle mediates as shownwhat is the measure of Question and choices are in the photo please explain the answer (2x - 3)(4 - 3x) find the product of binomials What is the range for this set of data? 7, 15, 12Mrs. Juarez graded ten English papers and recorded the scores. 92, 95, 100, 62, 88, 90, 100, 96, 89, 98 Which statements are true? Check all that apply. Write the word sentence as an inequality.3.2 less than a number t is at most 7.5 152 ptsFind the area of the given shape,a) 18b) 15c) 24d) 21 The density of dry air at room temperature and atmospheric pressure Is 1.2 kg m-3. What volume would 6 kg of dry air occupy under these conditions? What does the term interpretation mean in the context of studying history? A) an argument that refutes a historians claims B) a technique used to convince others to accept an argument C) a method for analyzing events outside their historical contextD) a particular historians understanding of the past Protein misfolding causes ____.a.arthritisb.Creutzfeldt-Jakob diseasec.schizophreniad.immunodepressione.tuberculosis Write the expression as a square of a binomial if possible Please write three places to visit in Idaho and why an object is 70 um long and 47.66um wide. how long and wide is the object in km?