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Inverses and Invertible Functions

Authored by Anthony Clark

Mathematics

11th Grade

CCSS covered

Inverses and Invertible Functions
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15 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f and g are inverse functions, and
f(2) = -1     g(1) = -2     f(1) = -2, 
then which of the following MUST be true?

g(-2) = -1

g(2) = 1

g(-2) = 1

g(1) = 2

Tags

CCSS.HSF-BF.B.4C

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

What is the best description?

They are both functions, but not inverse functions.

They are reflected over y=x, but they are not both functions.

They are not reflected over y=x, and they are not both functions.

They are inverse functions.

Tags

CCSS.HSF-BF.B.4B

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The inverse of the function f(x) is written as ...

f -1(x)

f 2(x)

f '(x)

f +(x)

Tags

CCSS.HSF-BF.B.4A

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

The inverse has been reflected over which line?

y = x

x = 0

y = 0

x = -y

Tags

CCSS.HSF-BF.B.4B

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Which of the following best describes the graph?

They are both functions, but not inverse functions.

They are reflected over y=x, but they are not both functions.

They are not reflected over y=x, and they are not both functions.

They are inverse functions.

Tags

CCSS.HSF-BF.B.4B

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of the following is NOT TRUE about inverse functions?

Inverse functions are reflections of each other over the line y = x.

You find the inverse by switching x and y in the equation.

The domain of a function becomes the domain of its inverse.

The domain of a function becomes the range of its inverse.

Tags

CCSS.HSF-BF.B.4C

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is f-1(x)?

f-1(x) = 4x - 3

f-1(x) = -1/4x - 3

f-1(x) = 1/4x + 3

f-1(x) = -4x - 3

Tags

CCSS.HSF-BF.B.4A

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