Square Root Functions

Find the domain and range of the function
Hint:  Use a scratch graph to help you visualize things. 

• Domain: (-∞, ∞)  Range: [-∞, 4]
• Domain: [1, ∞)  Range: (-∞, 4]
• Domain: [-1. ∞) Range: [4, ∞) 
• Domain: [4, ∞) Range: [-1,∞) 

What are the transformations of this functions compared to the parent function?

• Shifted down 2
• Shifted up 2
• Shifted left 2
• Shifted right 2

Tags

CCSS.HSF.BF.B.3

Find the inverse of  $f\left(x\right)=\sqrt{x+2}+9$  

•  $f\left(x\right)=\left(x-9\right)^2-2$  

•  $f\left(x\right)=\left(x+9\right)^2+2$  

•  $f\left(x\right)=\sqrt{x+9}+2$  

•  $f\left(x\right)=\sqrt{x-9}-2$  

Tags

CCSS.HSF-BF.B.4A

Find the inverse of  $f\left(x\right)=x^2-5$  

•  $f\left(x\right)=\sqrt{x+5}$  

•  $f\left(x\right)=\sqrt{x-5}$  

•  $f\left(x\right)=\sqrt{x+9}$  

•  $f\left(x\right)=\sqrt{x-9}$  

Tags

CCSS.HSF-BF.B.4A

What is the equation of the function graphed?

• f(x) = (x-1)^1/2 + 2
• f(x) = 3(x-1)^1/2
• f(x) = 3(x+1)^1/2
• f(x) = 3(x+1)^1/2 + 2

Tags

CCSS.HSF-IF.C.7B

Describe the transformations.

• Translate Right 2, Down 4
• Translate Left 2, Down 4
• Translate Left 2, Up 4
• Translate Right 2, Up 4

Tags

CCSS.6.NS.C.6B

What is the equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4

Tags

CCSS.HSF-IF.C.7B

The solution of the equation is between...

• −50 and −40

• −20 and −10

• −30 and −20

• −40 and −30

Tags

CCSS.HSA.REI.A.2

The solution of the equation is between...

• 0 and 10

• −10 and 0

• −20 and −10

• 10 and 20

Tags

CCSS.HSA.REI.A.2

This equation has...

• two positive solutions

• one positive solution and one negative extraneous solution

• one positive solution and one negative solution

• two negative solutions

Tags

CCSS.HSA.REI.A.2