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Laabri

Precalculus Unit 1 Composite & Inverse Functions Test

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Last updated 4 months ago
16 Nsɛmmisa
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3.

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4.

1

Given an input price

the function
shows a percentage discount while the function
shows the savings from a coupon. Compose and interpret functions.

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1.

Match each function composition.

Draggable itemarrow_right_altCorresponding Item

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2.

The composition

represents applying the while the .

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

?

Given the functions

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

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5.

Match each function composition.

Draggable itemarrow_right_altCorresponding Item

arrow_right_alt

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6.

Evaluate

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7.

Evaluate

Given the functions

and
, what is the composition
?

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8.

1

Given the functions

and
, what is the composition
?

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10.

1
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12.

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

1

Consider the function

and its inverse.

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14.

What is the inverse of

?

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16.

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9.

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11.

Explain why some functions such as the quadratic shown below do not have inverse functions. Then restrict the domains over which an inverse function can be found.

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13.

Which of the restricted domains will make the function invertible?

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15.

Given

,
and
what composition confirms the inverse
?