Graphing Logarithmic Functions

Question 1

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

Revolt · Accepted Answer

f –1(x) = 2x

Question 2

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?

Revolt · Accepted Answer

(0.5, –1)

Question 3

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 =

Revolt · Accepted Answer

2; 1; 0.25

Question 4

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).

Revolt · Accepted Answer

Answer image: //media.edgenuity.com/EVresources/3111-10-03-10-05-task/mc001-2.jpg

Question 5

.

Revolt · Accepted Answer

1.

Question 6

There is no power of 4 that is equal to 0.There is no power of 4 that is equal to 1.Its inverse does not have any x-intercepts.Its inverse does not have any y-intercepts.

Revolt · Accepted Answer

There is no power of 4 that is equal to 0.; Its inverse does not have any x-intercepts.

Question 7

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

Revolt · Accepted Answer

✔ f(x) approaches negative infinity

Question 8

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

Revolt · Accepted Answer

✔ f(x) approaches infinity

Graphing Logarithmic Functions Answers

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