Inverse, Transformations of, and Piecewise Functions

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

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}

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

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

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

• $f\left(x\right)\ =-5\sqrt{x}$

• $f\left(x\right)\ =5\sqrt{x}$

• $f\left(x\right)\ =5\sqrt{-x}$

• $f\left(x\right)\ =\sqrt{x}-5$

Tags

CCSS.HSF.BF.B.3

Evaluate the following:

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

• 0

• -5

• -2

• 4

Tags

CCSS.HSF.IF.A.2

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

• -2

• 2

• 0

• -1

Tags

CCSS.HSF-BF.B.4A

Assuming g(x) is the inverse of f(x), what is $\left(g\circ f\right)\left(x\right)$ ?

• g

• f

• 1

• x

Tags

CCSS.HSF-BF.B.4B