Practice: Square Root Function Facts

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.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

Where is the function increasing?

• [ $-3,\infty$ )

• [ $0,\infty$ )

• [ $3,\infty$ )

• ( $-\infty,0$ ]

What is the domain of the function in this graph?

• ( $-\infty,3$ ]

• [ $3,\infty$ )

• ( $-\infty,0$ ]

• [ $0,\infty$ )

What is the range of the function in this graph?

• ( $-\infty,3$ ]

• [ $3,\infty$ )

• ( $-\infty,0$ ]

• [ $0,\infty$ )

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• (-∞, 0)

• [ 0, ∞)

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.5

CCSS.HSF.IF.C.7

What is the domain for:

 $g\left(x\right)=\sqrt{x+5}-3$ 

• A

  -3 ≤ x < ∞

• B

  − ∞ < x ≤ -3

• C

  -5 ≤ x < ∞

• D

  − ∞ < x ≤ -5

What is the Range for:

 $g\left(x\right)=\sqrt{x+5}-3$  

• A

  -3 ≤ y < ∞

• B

  − ∞ < y ≤ -3

• C

  -5 ≤ y < ∞

• D

  − ∞ < y ≤ -5

Where is the function increasing?

• A

  -4 ≤ x < ∞

• B

  − ∞ < x ≤ -2

• C

  -2 ≤ x < ∞

• D

  − ∞ < x ≤ -4

What is the domain of this function?

 $f\left(x\right)=\sqrt{x-1}-3$  

• x ≥ 1

• x ≤ 1

• x ≥ -3

• x ≥ -1

What is the range of this function?

 $f\left(x\right)=\sqrt{x-1}-3$  

• f(x) ≥ 1

• f(x) ≥ -1

• f(x) ≥ -3

• f(x) ≤ -3