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Finding Inverse Functions and Reflections

Finding 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 a function using a graph. It begins with an introduction to the concept of inverses and outlines a game plan for finding them. The key steps involve interchanging the variables X and Y, solving for Y, and plotting the resulting points on a graph. The tutorial emphasizes the importance of reflection and symmetry about the line y=x when interchanging X and Y. The video concludes by summarizing the significance of these steps in understanding inverses.

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15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in finding the inverse from a graph?

Replace f(x) with Y

Plot the points

Interchange X and Y

Solve for Y

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second step in the game plan for finding inverses?

Solve for Y

Plot the points

Interchange X and Y

Replace f(x) with Y

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What do you do after interchanging X and Y?

Replace f(x) with Y

Interchange X and Y again

Plot the points

Solve for Y

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the purpose of interchanging X and Y?

To plot the original graph

To find the inverse function

To find the original function

To solve for X

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you do after interchanging X and Y?

Replace Y with f(x)

Solve for X

Plot the interchanged points

Plot the original points

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the correct order of points after interchanging X and Y?

(-3, -6), (-1, -4), (0, 0), (1, 4), (6, 5)

(-6, -3), (-4, -1), (0, 0), (4, 1), (5, 6)

(3, -6), (1, -4), (0, 0), (1, 4), (6, 5)

(-6, 3), (-4, 1), (0, 0), (4, 1), (5, 6)

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of connecting the dots after plotting?

A straight line

A circle

A curve

A reflection about y = x

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