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

What happens to the value of f(x) = log4x as x approaches +∞?

Revolt · Accepted Answer

f(x) approaches infinity

Question 3

What happens to the value of f(x) = log4x as x approaches 0 from the right?

Revolt · Accepted Answer

f(x) approaches negative infinity

Question 4

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 5

Question 6

Revolt · Accepted Answer

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

Question 6

Question 7

Revolt · Accepted Answer

Both increase from left to right.; Both have an asymptote of x = 0.

Question 7

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

Revolt · Accepted Answer

up.

Question 8

If you are given the graph of g, how could you graphf(x) = log x + 3?For each point on the graph of g,

Revolt · Accepted Answer

add 3 to the y-coordinate.

Question 9

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

Revolt · Accepted Answer

reflection in the x-axis

Question 10

For x > 1, the graph of which function increases faster?

Revolt · Accepted Answer

f

Graphing Logarithmic Functions Answers