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Functions Domain and Range

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is the domain?

a)

x = 2

b)

−∞ < x < ∞

c)

y = 2

d)

none of these

2.

What is the DOMAIN?

a)

[0, ∞)

b)

(-∞, 0)

c)

All real numbers

d)

{0, 1, 2, 3, 4,...}

3.

What is the range of the function?

a)

[-1, +∞)

b)

(-1,1)

c)

[1.5, +∞)

d)

(-2, 2)

4.

Find the Range.

a)

(-∞, +∞)

b)

(0, 11)

c)

[0, ∞)

d)

(0, ∞)

5.

Select TWO correct answers.

Domain

​ (a)  

Range

​ (b)  

Choose from the below words

The domain of the function is {0,1,2,3,4,5}

The range of the function {0,96,192,288,384,480}

The domain of the function is all real numbers

The domain of the function {0,96,192,288,384,480}

The range of the function {0,1,2,3,4,5}

The range of the function is all real numbers.

6.

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments. Which statements are true about the domain and range of the function for this situation? Select the correct answers.

Choose from the below words

D: {0, 1, 2, 3, 4, 5}

R: {0, 96, 192, 288, 384, 480}

D: all real numbers

R: {0, 1, 2, 3, 4, 5}

: {0, 96, 192, 288, 384, 480}

D: {0, 96, 192, 288, 384, 480}

R: all real numbers

7.

The graph shown has a domain of​ (a)   .

It has a range of (b)   ​ (c)   (d)   . ​

Choose from the below words

ARN

y

>

G

x

<

E

B

A

H

8.

A student borrowed $480 from a friend. He agreed to make monthly payments of $96 with no interest until the loan balance was paid off. The function shown models this situation, where f(x) represents the remaining loan balance in dollars after the student has made x monthly payments.

f(x)=480−96xf(x)=480−96x

Which statements are true about the domain and range of the function for this situation? Select the correct answers.

Domain: ​ ​ (a)  

Range: ​ (b)  

Choose from the below words

D: {0, 1, 2, 3, 4, 5}

R: {0, 96, 192, 288, 384, 480}

D: all real numbers

R: {0, 1, 2, 3, 4, 5}

{0, 96, 192, 288, 384, 480}

D: {0, 96, 192, 288, 384, 480}

R: all real numbers

9.

What is the RANGE?

a)

{-3, 3]

b)

all real numbers

c)

[-4, 5]

d)

[-4, ∞)

10.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

11.

Is the relation shown a function?

a)

No, because the x-value 11 is paired with 5 and 8.

b)

Yes, because each x-value has only one y-value paired with it.

12.

Find the Domain.

a)

(-∞, +∞)

b)

(0, 11)

c)

[0, ∞)

d)

(0, ∞)

13.

What is the Domain of this linear function?

a)

[-6, 6]

b)

[0, 7]

c)

[2, 7]

d)

No Solution

14.

What is the domain of a polynomial function?

a)

It depends on the degree of the function being even or odd.

b)

[0,∞)

c)

(-∞,∞)

d)

It depends on the vertex

15.

What is the domain of the following function: ƒ(x)=√(x-10)

a)

(-∞,∞)

b)

[10,∞)

c)

[0,∞)

d)

[0,10]

16.

Does the graph represent a function?
If you have an x value that has 2 "y" values it is NOT a function! 

a)

Yes, because the vertical line test shows there are no repeating input values

b)

No, because the vertical line test shows there are repeating input values

17.
a)
b)
c)
d)
18.
a)
b)
c)
d)
19.
a)
b)
c)
d)
20.

What is the domain of f?

a)
b)
c)
d)