Transformations of Logarithmic Functions

Front

What are logarithmic functions the inverse of?

Back

Exponential Functions

Front

How would you classify the graph of a logarithmic function?

Back

Logarithmic

Front

Describe the transformation of the graph of f(x) = log_9 x to f(x) = log_9(-x + 1) - 5.

Back

Reflection about the y-axis; shift left 1 and down 5.

Front

What is the classification of a graph that shows exponential growth?

Back

Exponential Growth

Front

What is the domain of the function f(x) = log_2(x)?

Back

x > 0

Front

What is the range of the function f(x) = log_2(x)?

Back

All real numbers.

Front

What is the general form of a logarithmic function?

Back

f(x) = log_b(x), where b is the base.

Front

What does the base of a logarithm represent?

Back

The base indicates the number that is raised to a power to obtain a given value.

Front

How does a vertical shift affect the graph of a logarithmic function?

Back

A vertical shift moves the graph up or down without changing its shape.

Front

What effect does a horizontal shift have on the graph of a logarithmic function?

Back

A horizontal shift moves the graph left or right.