Graphing Logarithmic Functions

Question 1

Which is the graph of a logarithmic function?

Revolt · Accepted Answer

C:

Question 2

Which is the graph of f(x) = log3x?

Revolt · Accepted Answer

B: On a coordinate plane, a logarithmic function approaches the y-axis in quadrant 4 and then increases into quadrant 1 and approaches y = 2. It goes through (1, 0) and (3, 1).

Question 3

Which function is shown in the graph?

Revolt · Accepted Answer

C: mc001-3.jpg

Question 4

What is the inverse of the logarithmic function f(x) = log9x?

Revolt · Accepted Answer

C: f –1(x) = –log9x; B: f –1(x) = 9x

Question 5

The sound intensity of rustling leaves is 100 times the reference intensity. Use your graph to determine the sound intensity of rustling leaves in decibels. decibels

Revolt · Accepted Answer

20

Question 6

Question 6

Revolt · Accepted Answer

B: a translation 3 units left and 2 units up

Question 7

The graph shows a logarithmic function f. What do f and the function g(x) = log6x have in common? Select all that apply.

Revolt · Accepted Answer

A: Both graphs increase on their domain.; B: The graphs of both functions have the same x-intercept.; C: Neither graph has a y-intercept.

Question 8

What are the domain and range of the logarithmic function f(x) = log7x? Use the inverse function to justify your answers.

Revolt · Accepted Answer

The logarithmic function f(x) = log7(x) has a domain of x > 0 and a range of all real numbers. This can be justified by its inverse function, g(x) = 7^x. The domain of an exponential function like 7^x is all real numbers, and its range is y > 0. Since the domain of a function is the range of its inverse and the range of a function is the domain of its inverse, the domain of f(x) is x > 0 and the range of f(x) is all real numbers.

Question 9

Which table represents the graph of a logarithmic function with both an x-and y-intercept?

Revolt · Accepted Answer

B: mc001-2.jpg

Question 10

What is the domain of the function? What is the range of the function?

Revolt · Accepted Answer

B: x > 0

Graphing Logarithmic Functions Answers

More from this Course

TRY EDGENUITY HACKS