what is the difference between the domain and the range of a function?

Answers

Answer 1

Answer:

The domain is all the x values of a function while the range is all the y values of a function.

Answer 2

Answer:

Step-by-step explanation:

The domain of a function is the set of input (x-) values for which the function is defined.  The range is the set of output (y-) values; often there are limitations.

For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y.  The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1.  There is no graph above y = -1 or below y = +1.


Related Questions

GIJL is a trapezoid with mid segment of HK. If IJ =7 cm and GL=15 cm, what is the length of HK?

Answers

Consider IJ and GL are the parallel sides of the trapezoid.

Given:

In a trapezoid GIJL, HK is the mid segment, IJ =7 cm and GL=15 cm.

To find:

The length of the mid segment HK.

Solution:

The length of the mid segment of a trapezoid is:

[tex]\text{Midsegment}=\dfrac{b_1+b_2}{2}[/tex]

where, [tex]b_1,b_2[/tex] are two parallel side or bases of the trapezoid.

HK is the mid segment, and the parallel sides are IJ =7 cm and GL=15 cm. So, the length of the mid segment is:

[tex]HK=\dfrac{IJ+GL}{2}[/tex]

[tex]HK=\dfrac{7+15}{2}[/tex]

[tex]HK=\dfrac{22}{2}[/tex]

[tex]HK=11[/tex]

Therefore, the length of HK is 11 units.

Please help me I would really appreciate it, If you can't that is okay but please try

Answers

Answer:

(3p+10q)

Step-by-step explanation:

9p^2 - 100q^2

Rewriting

(3p)^2 - (10q)^2

This is the difference of squares

a^2 - b^2 = (a-b)(a+b)

(3p-10q) (3p+10q)

Answer:

( 3p + 10 q)

Step-by-step explanation:

9 p ² - l00 q ²

(3p)² - ( 10 q) ²

( a ² - b ² = ( a + b) ( a - b) )

( 3p - 10 q) ( 3 p + 10 q)

Simplify to a single power of 6:

Answers

Answer:

6^2

Step-by-step explanation:

it is a division between two power with the same base, so we have to subtract the exponents

6^(6-4) = 6^2

Answer:

36

Step-by-step explanation:

6^6/ 6^4

46656/1296

36

The diagram shows a triangle ABC in which AB= 6 cm, BC=8 cm and ABC = 90°.
Calculate the length of AC.

The answer should be 12. please help with explanation and calculation!!!

Answers

Answer:

AC =10 cm

Step-by-step explanation:

triangle ABC is a right angled triangle

side opposite to angle B is hypotenuse

so hypotenuse=AC

here AB and BC are other two smaller sides of a triangle.

so according to pythagoras theorem sum of square of two smaller sides of a triangle must equal to the square of hypotenuse.

Let AB=a , BC=b and AC=c(hypotenuse)

[tex]AB^{2}[/tex] + [tex]BC^{2}[/tex] = [tex]AC^{2}[/tex]

[tex]6^{2}[/tex] + [tex]8^{2}[/tex] = [tex]AC^{2}[/tex]

36 + 64 =[tex]AC^{2}[/tex]

100=[tex]AC^{2}[/tex]

[tex]\sqrt{100[/tex] =AC

10=AC

what are the domain and ranges of each?

Answers

Answer:

1. Domain is -4<x≤5, Range is -1≤x<2

2. Domain is -Ꝏ<x<3, Range is -3<x<1

Bonus: Domain is -Ꝏ<x<2, 2<x<Ꝏ, Range is -Ꝏ<x<3, 3<x<Ꝏ

Which of the following is the range of the function based on the input-output
table below?
Hours
of training
Pay
per month

O A. (130, 35, 125, 30, 120, 25, 115)
O B. {5, 10, 15, 20, 25, 30, 35)
OC. {5, 100, 10, 105, 15, 110,20}
OD. 100, 105, 110, 115, 120, 125, 130)
Can anyone please help

Answers

Answer:

5, 100, 10, 105, 15, 110,20}

Step-by-step explanation:

The range of the function is {100, 105, 110, 115, 120, 125, 130}. The correct answer is D.

What is the domain and range of the function?

The domain of a function is defined as the set of all the possible input values that are valid for the given function.

The range of a function is defined as the set of all the possible output values that are valid for the given function.

We are given that;

The table

Now,

we can find the range of the function based on the input-output table:

The output values in the table are 100, 105, 110, 115, 120, 125, and 130. These are the possible pay per month that the function can produce for different hours of training.

To write the range as a set, we use curly braces {} and separate the elements by commas. We do not need to repeat any values that appear more than once in the table.

Therefore, by range of the function the answer will be {100, 105, 110, 115, 120, 125, 130}.

Learn more about the domain and range of the function:

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Which construction is shown in the figure below?

Answers

Answer:

C

Step-by-step explanation:

Perpendicular bisector of line segment AB

16 + 36 drag numbers to the lines to create an equivalent expression in factored form

Answers

Answer:

4(4+9)

(if you are able to use 4 twice)

Please help asap will mark brainliest

Answers

150 have a great day …

On a coordinate plane, 2 triangles are shown. Triangle A B C has points (negative 1, 1), (negative 4, 1) and (negative 1, 5). Triangle L M N has points (1, negative 1), (1, negative 4), and (5, negative 1). Which best explains whether or not ΔABC ≅ ΔLMN? The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are congruent because a 180 rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN. The figures are not congruent because point B corresponds with point N and point C corresponds with point M. The figures are not congruent because there is no rigid transformation or combination of rigid transformations that will map ΔABC onto ΔLMN.

Answers

Answer:

The figures are congruent because a 270° rotation about the origin and then a reflection over the x-axis will map ΔABC onto ΔLMN.

Consider points R, S, and T.
Which statement is true about the geometric figure that
can contain these points?
O No line can be drawn through any pair of the points.
VX
O One line can be drawn through all three points.
O One plane can be drawn so it contains all three
points.
OTwo planes can be drawn so that each one contains
all three points.
Mark this and return
Save and Exit
Nelit
Submit

Answers

Answer:

Option D can be your answer

The true statement about geometric figure is

One plane can be drawn so it contains all three points.

What is Plane?

A plane is a flat, endlessly long, two-dimensional surface. A plane is a two-dimensional analogue that can incorporate three dimensions of space, a line, and a point.

We have three points R, S and T.

So, there are infinitely many planes that pass through the line that contains the three points if the three points are colinear.

There is a plane that contains our three points if we have three separate points in 3-space.

So, For the three points R, S, and T, the third assertion is accurate.

Learn more about Plane here:

https://brainly.com/question/1962726

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when data are presented in a paragraph form, it is in ______.
A.tabular
b.graphical
c.texture
d.abstract​

Answers

Answer:c.texture

Step-by-step explanation:

The answer is c.texture

Given the system of equations below, identify the solution values. x − y = 3 x−y=3 7

Answers

Answer:

I believe there is no answer because if x-y = 3 x - y cant equal 3 7.

Step-by-step explanation:

Please mark brainliest :) hope i helped

A customer purchased 3 pairs of jeans (j) for $94.50. If each pair of
jeans costs the same amount, which equation could you use to find the
amount a single pair of jeans costs? *

Answers

Answer:

$31.50

Step-by-step explanation:

3j = $94.50

 j = 94.50 / 3

 j = $31.50

in chemistry class, Rhonda measured 9.5 grams of a substance how many milligrams is this?

Answers

The answer is 9,500 Milligrams

Write the fraction as a decimal number.
151
4
1000
Please help me

Answers

The answer is 4.151 as a decimal number
The answer is 4151/1000 as a improper fraction or 4.151 as a decimal

Explanation: if you popcorn, or multiply 4 by 1000 and add 151 making the numerator be 4151 while the denominator stays the same (it stays 1000)

From there if your answer needs to be a decimal you just divide 4151 by 100 to get 4.151

Hope this helps :)

You spin the spinner twice.
What is the probability of landing on a 6 and then landing on a 9?
Write your answer as a fraction or whole number.

Answers

Answer:

(1/4)(1/4) = 1/16

What is the slope of the line shown?

Answers

The answer should be 1/2

Answer:

The slope of the line show is always writen in the form of rise/ run or y/x. Bassically the answer should look like a fraction. In this case, the slope of the line is 1/2. Graphing points on the line always make this process eaiser. From one point to another measure the rise/run or y/x and that will be your slope. Here the line rises one point and runs 2. The slope of the line is positive because it slants right in quadrant one of the graph.

Step-by-step explanation:

In a group of 65 persons 20 drink tea but not coffee, 38 drink tea and 15 take neither of the tow then find How many drink tea and coffee both?​

Answers

Answer:

18

Step-by-step explanation:

38 drink tea but 20 drink tea only.

38-20 =18 drink tea.

The given pattern continues. Write down the nth term of the sequence ​{a​} suggested by the pattern. 7,-14,21,-28

Answers

Answer:

7_14-21-28-35-42-49 -56-63-70-77-84

7-14-82beieneidndkdbdidjsm depot ? Shabakadop lablelable scabadadoble ohhh

I am not sure why but it is causing me grief: "John walked 10 miles on Saturday. He walked twice as fast on the second 5 miles of his walk than he walked on the first 5 miles of his walk. Which expression represents the time he spent walking? Let x = John's speed on the first half of his walk."

Answers

Answer:

The total time spent in walking is [tex]\frac {15}{2x}[/tex].

Step-by-step explanation:

The speed is defined as the rate of change f distance or the ratio of the distance covered to the time taken.

Total distance covered by John = 10 miles

Let he walked with speed x for the first 5 miles and then he walked with speed 2 x for the second 5 miles.

Let the time spent for the first 5 miles is t' and for the second 5 miles is t''.

So,

[tex]t'=\frac{5}{x}\\\\t''=\frac{5}{2x}[/tex]

The total time spent in walking is

[tex]t = t'+ t''=\frac{5}{x}+\frac{5}{2x}\\\\t =\frac {15}{2x}[/tex]

The answer to this maths question

Answers

Given:

Toilet rolls com in packs of 4 and 9.

4-pack is priced at £2.04.

9-pack is priced at £4.68.

To find:

The pack that has better value by calculating the price per roll.

Solution:

We have, the 4-pack is priced at £2.04.

So, the price per roll for this pack is:

[tex]\dfrac{2.04}{4}=0.51[/tex]

In the pack of 4 rolls the price per roll is £0.51.

It is given that, the 9-pack is priced at £4.68.

So, the price per roll for this pack is:

[tex]\dfrac{4.68}{9}=0.52[/tex]

In the pack of 9 rolls the price per roll is £0.52.

Since the price per roll in the pack of 4 rolls is less that the price per roll in the pack of 9 rolls because 0.51 < 0.52, therefore the pack of 4 rolls has better value.

what is the factor of 3x^+9x-12

Answers

Answer:

Hi, there your answer will be 3(x−1)(x+4)

Step-by-step explanation:


What is g(x)?

Please help!

Answers

Answer:

A

Step-by-step explanation:

It's just a normal quadratic graph but flipped meaning its just negative x squared

The bakery manager at the grocery store decides to have a ​18% off sale on all bread. You decide to purchase 3 loaves of bread. Let b be the original price of a loaf of bread. Expand the expression 3(b − 0.18b). What do the terms of the expansion​ represent?

Answers

So I put the milk in the cape and take out the if u put the kids back u take out the milk and buy the chicken and eat the doggie

Find the area of the shape shown below.

Answers

Answer:

8

Step-by-step explanation:

First your rectangle

A = wl

A  = 2 * 2

A = 4

Then one of your triangles

A = h b/2

A = 2 * 2/2

A = 2

you have 2 triangles, so the area is 4 + 4 from the rectangle

Answer:

Area = 8 units²

Step-by-step explanation:

Recall that the area of a trapezoid is [tex]A=\frac{1}{2}(b_1+b_2)h[/tex] where [tex]b_1[/tex] and [tex]b_2[/tex] are the bases of the trapezoid and [tex]h[/tex] is the height of the trapezoid.

Therefore, the area of the trapezoid is:

[tex]A=\frac{1}{2}(b_1+b_2)h[/tex]

[tex]A=\frac{1}{2}(6+2)(2)[/tex]

[tex]A=\frac{1}{2}(8)(2)[/tex]

[tex]A=8[/tex]

This means that the area of the trapezoid is 8 units²

What is the slope of the line that contains these points?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]\boxed{m=8}[/tex]

»»————- ★ ————-««  

Here’s why:  

[tex]\boxed{\text{The Slope Formula:}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\------------\\m - \text{slope}\\\\(x_1,y_1) \text{ and }(x_2,y_2) - \text{points in the given function}[/tex]

⸻⸻⸻⸻

[tex]\text{\underline{Choosing two points from the table and applying the formula...}}\\\\m = \frac{34-26}{2-1}\\\\\boxed{m = \frac{8}{1}}[/tex]

⸻⸻⸻⸻

[tex]\text{The slope is 8.}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The diameter of a circle is 22 centimeters. What is the circle's circumference?

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Around 69.08 centimeters.  

»»————- ★ ————-««  

Here’s why:  

[tex]\text{Circumference of a Circle:}\\\\C=2\pi r\\\\\boxed{\text{Key:}}\\\\\text{r - radius}[/tex]

⸻⸻⸻⸻

The diameter is given. The radius is 11 cm.Recall that the radius is half the diameter.

⸻⸻⸻⸻

[tex]\boxed{\text{Finding the Circumference:}}\\\\\text{I am using 3.14 for pi.}\\--------\\\rightarrow C=2(3.14)11\\\\\rightarrow C=6.28*11\\\\\rightarrow\boxed{69.08}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

The answer is 0.69 circumstances

Let p(x)=4x-18 and q(x)=-2x+k. For what value of k will the x intercept of q(x) be equivalent to the x intercept of p(x)

Answers

Answer:

Step-by-step explanation:

The x-intercept of a line exists where y = 0. So first we will set each of those lines = 0:

4x - 18 = 0   and   -2x + k = 0. In order for the x-intercepts to be equal, we have to solve each equation for x and then set those expressions equal to each other.

4x = 18 so

x = 9/2.

-2x = -k so

x = k/2. If the x-intercepts are the same value, then

[tex]\frac{9}{2}=\frac{k}{2}[/tex] so, obviously,

k = 9

Find the distance between the two points rounding to the nearest tenth (if necessary).(−2,−6) and (−7,6)

Answers

Answer:

distance = 13 units

Step-by-step explanation:

(-2 , -6)=(x1 , y1)

(-7 , 6)=(x2 , y2)

distance formula:

=[tex]\sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]

=[tex]\sqrt{{(-7-(-2)}^2 + {6-(-6)}^2}[/tex]

=[tex]\sqrt{(-7+2)^2 + (6+6)^2}[/tex]

=[tex]\sqrt{(-5)^2 + (12)^2}[/tex]

=[tex]\sqrt{25+144}[/tex]

=[tex]\sqrt{169[/tex]

=13 units

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