Graphing Logarithmic Functions Assignment

Given that the point (8, 3) lies on the graph of g(x) = log2x, which point lies on the graph of f(x) = log2(x + 3) + 2?

(B) (5, 5)

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

(B) F-1 (x) = 9x

Which best describes the graph of f(x) = log2(x + 3) + 2 as a transformation of the graph of g(x) = log2x?

(B) a translation 3 units left and 2 units up

Which function is shown in the graph?

(C) f(x)=log5x

A whisper has a sound intensity of 30 decibels. Use your graph to help you complete the following statement. The sound intensity of a whisper is 1000 times the reference intensity.

1000

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.

20 decibals

The graph shows a logarithmic function f. What do f and the function g(x) = l

A B C

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

B

Which is the graph of a logarithmic function?

C

Which points lie on the graph of f(x) = log9x? Check all that apply.

C E F

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

The domain of f is the same as the range of the inverse function. The range of f is the same as the domain of the inverse function.

How can you use a point on the graph of f -1(x) = 9x to determine a point on the graph of f(x) = log9x?

switch the x and y coordinates

what is the domain of f(x) = log2(x + 3) + 2?

x > -3

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

x > 0 All real numbers