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Worksheets

Evaluating Functions

Total questions: 13

Worksheet time: 26mins

Name
Class
Date
1.

What is the independent variable of a function usually called? Fill in the blank: The independent variable of a function is usually the _______.

a)

x-value

b)

y-value

c)

slope

d)

intercept

2.

What is the dependent variable of a function usually called? Fill in the blank: The dependent variable of a function is usually the _______.

a)

y-value

b)

x-value

c)

slope

d)

intercept

3.

Fill in the blank: For a function f, when x is the input, the symbol f(x) denotes the corresponding _______.

a)

output

b)

input

c)

variable

d)

domain

4.

Which of the following is a correct way to write the function notation for a linear function?

a)

y = mx + b

b)

f(x) = mx + b

c)

x = f(y) + b

d)

f = mx + b

5.

Evaluate the function for f(-1) using the provided graph. To find f(-1) from the graph, locate x = -1 on the x-axis. Then, move vertically to the point on the function's curve. Finally, move horizontally from that point to the y-axis to read the output value.

a)

f(-1) = 3

b)

f(-1) = -2

c)

f(-1) = 0

d)

f(-1) = 1

6.

For the function f(x) = 3x - 5: a. Find the range when the domain is {-3, 0, 11}.

a)

{-14, -5, 28}

b)

{-8, -5, 33}

c)

{-9, 0, 28}

d)

{-14, -2, 28}

7.

Given the function f(x)=x2−5f\left(x\right)=x^2-5 . What is the value of f(3)f\left(3\right) ?

a)

-14

b)

4

c)

-8

d)

-2

8.

Given the function f(x)=x3+3x2+x−4f\left(x\right)=x^3+3x^2+x-4 . What is the value of f(3)f\left(3\right) ?

a)

-5

b)

0

c)

3

d)

53

9.

Substitute x = 11 in the function f(x) = 3x - 5. What is the value of f(11)?

a)

28

b)

33

c)

26

d)

21

10.

Find the domain (the x-values) when the range (the values of f(x)) is {-2, 4, 7} for the function f(x) = 3x - 5. Substitute the f(x) values and solve for x.

a)

The domain is {1, 3, 4}.

b)

The domain is {-1, 2, 5}.

c)

The domain is {0, 2, 3}.

d)

The domain is {-2, 4, 7}.

11.

Let f(x)f\left(x\right) represent the height of a growing plant, ff , in inches, where xx represents the time since it was planted in days. Refer to the 'Plant Growth' graph. The statement f(10)=8f\left(10\right)=8 means:

a)

The height of the plant is 8 inches after 10 days.

b)

The plant was 10 inches tall after 8 days.

c)

The plant grows 8 inches every 10 days.

d)

The plant was planted 8 days ago and is now 10 inches tall.

12.

Interpret the meaning of f(x) = 12.

a)

The height of the plant is 12 after x days of being planted.

b)

The plant was 12 inches tall after x days of being planted.

c)

The plant grows 12inches every 10 days.

d)

The plant was planted 4days ago and is now 12 inches tall.

13.

Which of the following statements is true about the function notation f(x)?

a)

A) xx is the output and yy is the input

b)

B) ff is the name of the function, xx is the input, yy is the output

c)

C) ff is the input, xx is the output, yy is the name of the function

d)

D) xx is the name of the function, ff is the input, yy is the output