Question

The graph of a logarithmic function is shown below.

On a coordinate plane, a curve starts in quadrant 3 and curves up in to the first quadrant. The curve starts at (negative 2, negative 2) and approaches y = 2 in quadrant 1.

What is the domain of the function?
x > –2
x > 0
x < 2
all real numbers

Answer 1

x > -2

Explanation: A logarithmic graph has a vertical asymptote at the value that makes the argument zero. The curve is only to the right of x = -2, so all x-values greater than -2 are allowed.