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Inverse Functions and Reflections

Inverse Functions and Reflections

Assessment

Interactive Video

•

Mathematics

•

9th - 10th Grade

•

Practice Problem

•

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how to find the inverse of functions by reflecting points over the identity line. It covers both graphical and algebraic methods, providing practical examples to illustrate the process. The tutorial emphasizes the importance of swapping x and y coordinates to find inverses and concludes with a recap of the key concepts discussed.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the identity line used for reflecting inverse functions?

y = 0

x = 0

y = -x

y = x

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What happens to the coordinates of a point when finding its inverse?

They are multiplied by -1

They are swapped

They are squared

They remain the same

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a point (4, 1) is reflected over the identity line, what will be its new coordinates?

(1, 4)

(-4, 1)

(4, -1)

(-1, 4)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of reflecting a point over the y-axis?

Neither coordinate changes

Both coordinates change sign

The y-coordinate changes sign

The x-coordinate changes sign

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of reflecting a point over the x-axis?

Both coordinates change sign

Neither coordinate changes

The y-coordinate changes sign

The x-coordinate changes sign

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse of the point (3, -3)?

(-3, 3)

(3, 3)

(-3, -3)

(3, -3)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why might the inverse of a set of points not be a function?

Because it has no y-values

Because it has repeated x-values

Because it has repeated y-values

Because it has no x-values

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