Exponential and Logarithmic Functions Exercises

What is the domain of f(x) = log₂ x + 3?

Hint

Graph it on a graphing calculator: look left to right for the domain.

What is the range of f(x) = log₂ x + 3?

Hint

Graph it on a graphing calculator. (If you did the last problem it should still be graphed!) Look down to up for the range.

How is f(x) = log₂ x + 3 different from f(x) = log₂ x?

Hint

Graph each one on the graphing calculator. Look at the difference.

What is the domain and range of f(x) = -log₂ x?

Hint

Graph it on a graphing calculator: look left to right for the domain and down to up for the range.

How is f(x) = -log₂ x different from f(x) = log₂ x?

Hint

Graph it and you are in for a little surprise.