FIND DOMAIN AND RANGE OF SQUARE ROOT FUNCTIONS WORKSHEET

Problem 1 :

f(x) = √(x - 4) - 10

Problem 2 :

Problem 3 :

f(x) = √(x + 3) + 2

Problem 4 :

f(x) = 2√(x - 5) - 6

Problem 5 :

f(x) = -√(5x)

Problem 6 :

f(x) = √(x + 1)

Problem 7 :

f(x) = -√(2x) + 2

Problem 8 :

f(x) = √(x + 2) + 5

Problem 9 :

f(x) = √(x - 4) - 6

Problem 10 :

f(x) = -√(x - 6) + 5

Answer Key

1) domain is [4, ∞) and range is [-10, ∞)

2) domain is [-12, ∞) and range is [3, ∞)

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

4) domain is [5, ∞) and range is [-6, ∞)

5) domain is x ≥ 0 and range is f(x) ≤ 0

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

7) domain is x ≥ 0 and range is (-∞, 2]

8) domain is [-2, ∞) and range is [5, ∞)

9) domain is [4, ∞) and range is [-6, ∞)

10) domain is [6, ∞) and range is (-∞, 5]