Graphing 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,∞) 

Describe the transformation.

• Left 1, Reflect over x-axis, up 2
• Left 1, Reflect over y-axis, down 2
• Right 1, Reflect over x-axis, up 2
• Right 1, Reflect over y-axis, uo 2

Tags

CCSS.HSF.BF.B.3

Which function matches the graph?

• A

  f(x) = √(x - 4) - 2

• B

  f(x) = √(x + 2) - 4

• C

  f(x) = √(x - 2) - 4

• D

  f(x) = √(x + 4) - 2

What is the domain of the graph of the radical function?

• (-infinity, infinity)
• (-7, infinity)
• (0, infinity)
• (4, infinity)

Which function matches the graph?

• A

  f(x) = √(x - 1) + 3

• B

  f(x) = − √(x + 1) + 3

• C

  f(x) = √(-x + 1) + 3

• D

  f(x) = − √(x + 3) − 1

Which of these equations shifts a radical equation right 5 times and down once?

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

Identify the Range

• (- ∞, -2 ]
• [ -2, ∞ )
• All Real Numbers
• [ 0, ∞)

Which of the following is NOT a part of the transformations for the function?

• Vertical Stretch by a factor of 2

• Horizontal Shift Right 1/2 units

• Horizontal Stretch by a factor of 6

• Vertical Shift Up 3 units

Find the y-intercept for the function.

• (0, 5)

• (4, 0)

• (32, 0)

• (0, 4)

Which of the following correctly describes the domain and range for the function graphed?

• D: [-5, infinity) R: (-infinity, 4]

• D: [-5, infinity) R: [4, -infinity)

• D: (-infinity, infinity) R: (-infinity, infinity)

• D: [4, infinity) R: (-infinity, -5]