Domain and Range of Square Root Graphs

What is the domain of the function in this graph?

• x ≤ 3

• x ≥ 3

• x ≤ 0

• x ≥ 0

What is the domain of this graph?

• x ≥ -1

• x ≤ -1

• x ≥ 0

• x ≤ 0

Which of the following is the domain shown in the graph?

• [4,∞)

• [-4,∞)

• (4,8)

• [-4,8]

If the endpoint of the graphed square root is at (-3,-5), the domain is​ (a)   and the range is​ (b)  

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,∞) 

Mathematical Equivalence

ON

What is the domain for: g(x) = √(x + 5) - 3

• x ≥-3

• x ≤ -3

• x ≥-5

• x ≤ -5

Mathematical Equivalence

ON

Mathematical Equivalence

ON

What is the range of this graph?

• y ≥ -1

• y ≤ -1

• y ≥ 0

• y ≤ 0