Assignment #7 Module 5 Test Study Guide

Find the inverse of  $f\left(x\right)=3x+2$  

•  $f^{-1}\left(x\right)=\frac{x-2}{3}$  

•  $f^{-1}\left(x\right)=\frac{x-3}{2}$  

•  $f^{-1}\left(x\right)=\frac{3x}{2}$  

•  $f^{-1}\left(x\right)=\frac{2+x}{3}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of  $f\left(x\right)=-\frac{3}{4}x+5$  

•  $f^{-1}\left(x\right)=5\left(x-\frac{4}{3}\right)$  

•  $f^{-1}\left(x\right)=-\frac{3}{4}\left(x-5\right)$  

•  $f^{-1}\left(x\right)=-\frac{4}{3}\left(x-5\right)$  

•  $f^{-1}\left(x\right)=-5\left(x-\frac{3}{4}\right)$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of  $f\left(x\right)=x^2-4$  

•  $f^{-1}\left(x\right)=\sqrt{x+16}$  

•  $f^{-1}\left(x\right)=\sqrt{x-4}$  

•  $f^{-1}\left(x\right)=\sqrt{x}+4$  

•  $f^{-1}\left(x\right)=\sqrt{x+4}$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of  $f\left(x\right)=\sqrt{x}+8$  

•  $f^{-1}\left(x\right)=x^2+8$  

•  $f^{-1}\left(x\right)=x^2-8$  

•  $f^{-1}\left(x\right)=\left(x+8\right)^2$  

•  $f^{-1}\left(x\right)=\left(x-8\right)^2$  

Tags

CCSS.HSF-BF.B.4A

How did the equation f(x) = x change if

g(x) = 1/2f(x) + 11

• Vertical stretch and shift up 11

• Horizontal shrink and shift down 11

• Vertical shrink and shift up 11

• Horizontal stretch and shift down 11

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.3

If the graph of the parent function f(x) = x is shifted 7 units up and is horizontally compressed by a factor of 3, what is the function?

• g(x) = f(7x) + 3
• g(x) = 3f(x) - 7
• g(x) = f(3x) + 7
• g(x) = 7x - 3

Tags

CCSS.HSF.BF.B.3

How did the equation shift from the parent function? y = -3f(x) + 5

• Reflection over x-axis, vertical stretch by a factor of 3, vertical shift up 5

• Reflection over y-axis, vertical shrink by a factor of 3, horizontal shift right 5

• vertical stretch by a factor of 3, Horizontal shift left 5

• reflection over x-axis, vertical shrink by a factor of 3, vertical shift up 5

How did the equation shift from the parent function? y = 4f(x - 3)

• Vertical stretch by a factor of 4 and Horizontal shift right 3

• Vertical shrink by a factor of 4 and vertical shift down 3

• Vertical stretch by a factor of 4 and Horizontal shift left 3

• Vertical shrink by a factor of 4 and vertical shift right 3

Which equation transforms f(x) = x to a vertical stretch by a factor of 2, a reflection over the x axis, and a shift down 4?

• f(-2x - 4)

• -1/2f(x) - 4

• -f(2x) - 4

• -2f(x) - 4

Describe the end behavior of the graph.

• f(x)→ ∞ as x → -∞ and

  f(x)→⁻∞ as x→ ∞

• f(x) → ∞ as x → -∞ and

  f(x) →∞ as x→∞

• f(x) → -∞ as x → -∞ and

  f(x) → -∞ as x→∞

• f(x) → -∞ as x → -∞ and

  f(x) →∞ as x→∞