Graphing Radical Square Root Functions

Identify the Range

• (- ∞, -2 ]

• [ -2, ∞ )

• (-∞, 0)

• [ 0, ∞)

Graph each function.

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Identify the Range for the function

Which of these equations shifts a square root function right 5 units and down one unit?

• True

• False

What is the Domain for the graph?

• -4 ≤ x < ∞

• − ∞ < x ≤ -2

• -2 ≤ x < ∞

• − ∞ < x ≤ -4

f(x) = √(x) Which function is equivalent to: g(x - 4) + 2

• g(x) = 2√(x - 4)

• g(x) = √(x - 4) + 2

• g(x) = √(x + 2) - 4

• g(x) = √(x - 4) - 2

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

• -3 ≤ x < ∞

• − ∞ < x ≤ -3

• -5 ≤ x < ∞

• − ∞ < x ≤ -5

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

• -3 ≤ y < ∞

• − ∞ < y ≤ -3

• -5 ≤ y < ∞

• − ∞ < y ≤ -5

Which function matches the graph?

• f(x) = √(x - 4) - 2

• f(x) = √(x + 2) - 4

• f(x) = √(x - 2) - 4

• f(x) = √(x + 4) - 2