Precalculus Unit 1 Composite & Inverse Functions Test

Given an input price

the function

shows a percentage discount while the function

shows the savings from a coupon. Compose and interpret functions.

2

Match each function composition.

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2

The graphs of the equations
and
are shown below.
What is the value of
rounded to the nearest integer?

2

The graphs of the equations
and
are shown below.
What is the value of
?

Given the functions

and

evaluate the composite functions. Write all answers as simplified improper fractions for full credit.

2

Match each function composition.

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1

Evaluate

1

Evaluate

Given the functions

and

, what is the composition

?

1

Given the functions

and

, what is the composition

?

1

Which best explains why some functions such as this quadratic do not have inverse functions?

The function does not have an inverse function because 2 inputs have the same output so the inverse will have 1 input with 2b outputs.

The function does not have an inverse function because 1 input has the same 2 outputs so the inverse will have 2 inputs with 1 output.

1

Consider the function

and its inverse.

1

What is the inverse of
?

1

so

Precalculus Unit 1 Composite & Inverse Functions Test

Match each function composition.

The graphs of the equations
and
are shown below.
What is the value of
rounded to the nearest integer?

The graphs of the equations
and
are shown below.
What is the value of
?

Match each function composition.

Evaluate

Evaluate

Which best explains why some functions such as this quadratic do not have inverse functions?

What is the inverse of
?

Match each function composition.

Match each function composition.

Evaluate

Evaluate

Which best explains why some functions such as this quadratic do not have inverse functions?

Which of the restricted domains will make the function invertible?

What is the inverse of
?

Given
,
and
what composition confirms the inverse
?

Which of the restricted domains will make the function invertible?

Precalculus Unit 1 Composite & Inverse Functions Test

Precalculus Unit 1 Composite & Inverse Functions Test

Match each function composition.

The graphs of the equations and are shown below.What is the value of rounded to the nearest integer?

The graphs of the equations and are shown below.What is the value of ?

Match each function composition.

Evaluate

Evaluate

Which best explains why some functions such as this quadratic do not have inverse functions?

What is the inverse of ?

Match each function composition.

Match each function composition.

Evaluate

Evaluate

Which best explains why some functions such as this quadratic do not have inverse functions?

Which of the restricted domains will make the function invertible?

What is the inverse of ?

Given , and what composition confirms the inverse ?

Which of the restricted domains will make the function invertible?

The graphs of the equations
and
are shown below.
What is the value of
rounded to the nearest integer?

The graphs of the equations
and
are shown below.
What is the value of
?

What is the inverse of
?

What is the inverse of
?

Given
,
and
what composition confirms the inverse
?