Domain and Range of Square Root Functions

Range is:

• All x values, from left to right.

• All y values, from left to right. 

• All y values, from bottom to top.

• All x values, from bottom to top.

What type of function is shown?

• cube root

• square root

• logarithm

• exponential

RANGE?

• (-∞,∞)

• [0,∞)

• (-∞,0]

• [-∞,∞]

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,∞) 

What is the domain of the function in this graph?

y = √(x) + 3

• (-infinity, 3]

• [3, infinity)

• (-infinity, 0]

• [0, infinity)

What is the domain for:

g(x) = √(x + 5) - 3

• A

  x ≥-3

• B

  x ≤ -3

• C

  x ≥-5

• D

  x ≤ -5

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

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

• -3 ≤ x < ∞

• − ∞ < x ≤ -3

• -5 ≤ x < ∞

• − ∞ < x ≤ -5

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

• -3 ≤ x < ∞

• − ∞ < x ≤ -3

• -5 ≤ x < ∞

• − ∞ < x ≤ -5