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5.06 Inverse relations and functions

Adaptive
Worksheet

Interactive practice questions

Consider the following.

a

Select all the correct options that complete the following statement.

A one-to-one function is a function in which:

No ordered pairs have the same $y$y coordinate.

A

For every value of $y$y, there is only one value of $x$x.

B

The axis of symmetry is the $y$y-axis.

C

A horizontal line intersects the graph in no more than one place.

D
b

Does the graph of a horizontal line represent a function?

Yes

A

No

B
c

Is a horizontal line a one-to-one function?

No, as it does not pass the vertical line test.

A

Yes, as it passes the horizontal line test.

B

No, as it does not pass the horizontal line test.

C

Yes, as it passes the vertical line test.

D
Easy
1min

Is the following a graph of a one-to-one function?

Easy
< 1min

Is the following a graph of a one-to-one function?

Easy
< 1min

Is the following a graph of a one-to-one function?

Easy
< 1min
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Outcomes

A2.F.BF.B.4

Find the inverse of a function.

A2.F.BF.B.4.A

Determine whether a function is one-to-one.

A2.F.BF.B.4.B

Find the inverse of a function on an appropriate domain.

A2.F.BF.B.4.C

Given an invertible function on an appropriate domain, identify the domain of the inverse function.

A2.MP1

Make sense of problems and persevere in solving them.

A2.MP3

Construct viable arguments and critique the reasoning of others.

A2.MP6

Attend to precision.

A2.MP7

Look for and make use of structure.

A2.MP8

Look for and express regularity in repeated reasoning.

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