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Inverse, Transformations of, and Piecewise Functions

Authored by Timothy Robaczewski

Mathematics

9th - 12th Grade

CCSS covered

Used 2+ times

Inverse, Transformations of, and Piecewise Functions
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8 questions

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1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine the inverse of the function f(x) = 3x - 12

f-1(x) = 3x + 4

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

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

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

Tags

CCSS.HSF-BF.B.4A

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Determine if the inverse of the following function is also a function. Then state the domain of the inverse: {(1, 3), (-5, 7), (10, -43), (8, 7)}

Yes: {1, -5, 7, 10, 8}

No: {1, -5, 7, 10, 8}

Yes: {3, 7, -43}

No: {3, 7, -43}

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Describe the transformation of the function y = 3f(x) - 2

Translated up 3, then down 2

Vertically stretched by 3 and down 2

Translated up 3 and right 2.

Vertically stretched by 3 and right 2

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Determine the equation of the following quadratic function:

f(x) = (x+2)2 - 3

f(x) = 2x2 - 3

f(x) = (x-2)2 - 3

f(x) = (x-2)2 + 3

Tags

CCSS.HSF-IF.C.7A

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the equation of a square root function that has been HORIZONTALLY reflected and vertically stretched by 5.

f(x) =5xf\left(x\right)\ =-5\sqrt{x}

f(x) =5xf\left(x\right)\ =5\sqrt{x}

f(x) =5xf\left(x\right)\ =5\sqrt{-x}

f(x) =x5f\left(x\right)\ =\sqrt{x}-5

Tags

CCSS.HSF.BF.B.3

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Evaluate the following:

f(-5) + f(1) - f(2)

0

-5

-2

4

Tags

CCSS.HSF.IF.A.2

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Media Image

Determine the value of f(4)*f-1(-3)

-2

2

0

-1

Tags

CCSS.HSF-BF.B.4A

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