Warm-Up: Unit 1 Functions Review

What are the transformations of this function compared to the parent function y = √(x)?

• Shifted right 5, shifted down 2, and reflected over the x-axis

• Reflected over the x-axis, vertical stretch, and shifted right 5

• Reflected over the x-axis, vertical stretch, and shifted left 5

• Shifted right 5, shifted down 2

Tags

CCSS.HSF.BF.B.3

• f(x) = −(x−2)³−1
• f(x) = −(x+2)³−1
• f(x) = −(x−2)³ + 1
• f(x) = −(x+2)³ + 1

 $y=3\left|x\right|$  

Which graph represents this transformed function

• 
• 
• 
• 

Where is the function decreasing?

• (-∞, -1)
• (-1, ∞)
• (-∞, 3)
• (-∞, ∞)

When is this function increasing?

• (-3, 3)

• (-2.5, 2.5)

• [-3, 3]

• (3, ∞)

If  $f\left(x\right)=\frac{1}{x}$   and  $g\left(x\right)=3x+2$   find  $\left(f\circ g\right)\left(2\right)$  

•  $\frac{1}{4}$  

•  $\frac{1}{8}$  

•  $\frac{7}{2}$  

• 8

Tags

CCSS.HSF-BF.A.1C

• 9 - √17
• 4
• 2
• √8

Tags

CCSS.HSF-BF.A.1C

Which is f^-1(x)? (Use paper and pencil!)

• f^-1(x)=3∛(x-6)

• f^-1(x)=-6+3∛x

• f^-1(x)=∛(3x-18)

• f^-1(x)=3(x-6)³

Tags

CCSS.HSF-BF.B.4A

What is the best way to describe this relation?

• One-to-One

• Function

• Relation

Describe the transformation of y = f(x) to the new function
 y = f(1/5x)

• Horizontal shrink by a factor of 1/5
• Vertical stretch be a factor of 5
• Vertically shrink by a factor of 1/5
•  Horizontal stretch by a factor of 5