Graphing Logarithmic Functions Answers

What is the inverse of the logarithmic function f(x) = log2x?

The point (–1, 0.5) lies on the graph of f –1(x) = 2x. Based on this information, which point lies on the graph of f(x) = log2x?

Question text not available

Question text not available

The graph of f(x) = log x + 3 is the graph ofg(x) = log x translated 3 units

The graph of f(x) = −log x is a of the graph of g(x) = log x.

What is the inverse of the logarithmic function f(x) = log2x?

The inverse of the logarithmic function f(x) = log0.5x is f−1(x) = 0.5x. What values of a, b, and c complete the table for the inverse function? x −2 −1 0 1 2 y 4 a b 0.5 c a = b = c =

On a coordinate plane, a logarithmic functions intercepts the y-axis at (0, 1). On a coordinate plane, a logarithmic function goes through (0, 2.5) and (1.5, 0).

Question text not available

⇒ 1.

✔ f(x) approaches negative infinityf(x) approaches 0f(x) approaches infinity

f(x) approaches negative infinityf(x) approaches 0✔ f(x) approaches infinity

Question text not available

In the problems below, f(x) = log2x and g(x) = log10x. How are the graphs of f and g similar? Check all that apply.

✔ fgThey increase at the same rate.

The graph of f(x) = log x + 3 is the graph ofg(x) = log x translated 3 units

vertical translationhorizontal translation✔ reflection in the x-axisreflection in the y-axis