FINDING DOMAIN AND RANGE OF SQUARE ROOT FUNCTIONS WORKSHEET

Problem 1 :

f(x) = √(4x)

Problem 2 :

f(x) = 3√(x - 1)

Problem 3 :

f(x) = √(x + 8) - 2

Problem 4 :

f(x) = √x - 2

Problem 5 :

f(x) = -√(3x - 5) + 5

Problem 6 :

Problem 7 :

f(x) = -3√(x + 7) + 9

Problem 8 :

f(x) = √(x² - 4)

Problem 9 :

f(x) = √(9 - x²)

Answer Key

1) domain is x ≥ 0 and range is f(x) ≥ 0

2) domain is x ≥ 1 and range is f(x) ≥ 0

3) So, domain is [-8, ∞) and range is [-2, ∞)

4) domain is [0, ∞) and range is [-2, ∞)

5) domain is [5/3, ∞) and range is (-∞, -5]

6) domain is [1, ∞) and range is (-∞, -4]

7) domain is [-7, ∞) and range is (-∞, 9]

8) domain is (-∞, -2] U [2, ∞) and range is [0, ∞)

9) domain is [-3, 3], and range is [0, 3]