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Inverse Functions and Their Properties

Inverse Functions and Their Properties

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSF-BF.B.4B, HSF-BF.A.1C, 6.NS.A.1

Standards-aligned

Created by

Liam Anderson

FREE Resource

Standards-aligned

CCSS.HSF-BF.B.4B
,
CCSS.HSF-BF.A.1C
,
CCSS.6.NS.A.1
The video tutorial explains how to determine if two functions are inverses of each other. It introduces the concept of inverse functions and outlines two tests: substituting g(x) into f(x) and vice versa, ensuring both results equal x. The tutorial demonstrates these tests with specific functions, confirming they are inverses. The conclusion reiterates the inverse relationship and its implications.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the given functions f(x) and g(x) in the video?

f(x) = x^2, g(x) = sqrt(x)

f(x) = x - 4, g(x) = x + 4

f(x) = x + 4, g(x) = x - 4

f(x) = 1/(x - 4), g(x) = 1/(x + 4)

Tags

CCSS.HSF-BF.B.4B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first test to check if two functions are inverses?

Substitute f(x) into g(x) and get 0

Substitute f(x) into g(x) and get y

Substitute g(x) into f(x) and get 0

Substitute g(x) into f(x) and get x

Tags

CCSS.HSF-BF.A.1C

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of substituting g(x) into f(x) in the first test?

The result is y

The result is 1

The result is 0

The result is x

Tags

CCSS.6.NS.A.1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What operation is equivalent to dividing by a fraction?

Adding the reciprocal

Dividing by the reciprocal

Multiplying by the reciprocal

Subtracting the reciprocal

Tags

CCSS.HSF-BF.B.4B

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the second test to verify if two functions are inverses?

Substitute f(x) into g(x) and get 0

Substitute g(x) into f(x) and get 1

Substitute g(x) into f(x) and get y

Substitute f(x) into g(x) and get x

Tags

CCSS.HSF-BF.A.1C

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of substituting f(x) into g(x) in the second test?

The result is 0

The result is 1

The result is y

The result is x

Tags

CCSS.HSF-BF.B.4B

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does it mean if both tests for inverse functions are passed?

The functions are unrelated

The functions are inverses of each other

The functions are identical

The functions are equal

Tags

CCSS.HSF-BF.B.4B

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