Domain and Range of Square Root

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,∞) 

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• (-∞, 0)

• [ 0, ∞)

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• All Real Numbers

• [ 0, ∞)

Mathematical Equivalence

ON

What is the domain of this function?

• [0, ∞)

• [3, ∞)

• (-∞, 3]

• (-∞, 0]

Find the domain and range of the function
Hint: use the calculator to see the graph
f\left(x\right) = -\sqrt{x-1}+4

• 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?

• (-infinity, 3]

• [3, infinity)

• (-infinity, 0]

• [0, infinity)

Mathematical Equivalence

ON

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

Mathematical Equivalence

ON