Square Root Functions, Inverses, & Domain & Range

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,∞) 

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Create a Square root Function with the following characteristics: 
Domain: [-9, ∞)   Range: (-∞, 6] 

• f(x) = √(x - 6) + 0 
• f(x) = √(x - 9) + 6
• f(x) = √(x + 9) + 6 
• f(x) = √(x+6) 

What are the transformations for the graph of
the parent function f(x) = √x  to the function above 

• Vertical Stretch by a factor of 2; translated down 5 units 
• Shifted right 2 units and down 5 units 
• Vertical stretch by a factor of 2; translated left 5 units
• Vertical stretch by a factor of 2; translated right one unit 

Tags

CCSS.HSF.BF.B.3

Create a square root function with the following characteristics using the following graph: 

• y = .5√(x + 1) - 2
• y = 2√(x - 1) + 2
• y = .5√(x - 1) - 2
• y = √(x + 1) - 2 

Tags

CCSS.HSF-IF.C.7B

What is the parent function of the graph? 

• y = x²
• y = 2√x
• y = √x

Tags

CCSS.HSF-IF.C.7B

Are the following inverses of each other?

• True
• False

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

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

What type of function is shown?

• cube root
• square root
• logarithm
• exponential

Tags

CCSS.HSF-IF.C.7B

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

What is the equation of the graph?

• y = -√(x + 5)
• y = √(x) - 2
• y = √(x - 3)
• y = √(x) + 3

Tags

CCSS.HSF-IF.C.7B