FINDING DOMAIN AND RANGE OF A LOGARITHMIC FUNCTION WORKSHEET

Identify the domain and range of each.

Problem 1 :

y = log₆ (x − 1) − 5

Problem 2 :

y = log₅ (x − 1) + 3

Problem 3 :

y = log₆ (x − 3) - 5

Problem 4 :

y = log₂ (x − 1) + 3

Problem 5 :

y = log₄ (x + 1) - 4

Problem 6 :

y = log₄ (3x + 11) - 5

Problem 7 :

y = log₅ (2x + 2) + 5

Answer Key

1) Domain is (1, ∞). All real values is the range.

2) Domain is (1, ∞). All real values is the range.

3) Domain is (3, ∞). All real values is the range.

4) Domain is (1, ∞). All real values is the range.

5) Domain is (-1, ∞). All real values is the range.

6) Domain is (-11/3, ∞). All real values is the range.

7) Domain is (-1, ∞). All real values is the range.