Determine the Domain of Square Root Functions

Tags

CCSS.HSF-IF.C.7B

What is the domain of this function?

• {x ∣ x ≥ 1}

• {x ∣ x ≤ 1}

• {x ∣ x ≥ -3}

• {x ∣ x ≥ -1}

Mathematical Equivalence

ON

What is the domain of the function in this graph?

y = √(x) + 3

• (-infinity, 3]

• [3, infinity)

• (-infinity, 0]

• [0, infinity)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of this function?

• [0, ∞)

• [3, ∞)

• (-∞, 3]

• (-∞, 0]

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the domain of the function in this graph?

• (-infinity, 3]

• [3, inifinity)

• (-infinity, 0]

• [0, infinity)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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,∞) 

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

• Domain: All Real #s Range: y ≤ 4

• Domain: x ≥ 1 Range: y ≤ 4

• Domain: x ≥ -1 Range: y ≥ 4

• Domain: x ≥ 4 Range: y ≤ -1

What is the domain of the function in this graph?

• y ≥ 3

• y ≤ 3

• y ≤ 0

• y ≥ 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5