Graphing Logarithmic Functions

Front

What is the general form of a logarithmic function?

Back

y = log_b(x) where b is the base of the logarithm.

Tags

CCSS.HSF-IF.C.7E

Front

What is the relationship between logarithmic functions and exponential functions?

Back

Logarithmic functions are the inverse of exponential functions.

Tags

CCSS.HSF.BF.B.5

Front

How do you find the domain of a logarithmic function?

Back

The domain of a logarithmic function y = log_b(x) is x > 0.

Front

What is the range of a logarithmic function?

Back

The range of a logarithmic function is all real numbers.

Tags

CCSS.HSF-IF.C.7E

Front

How do you determine the vertical asymptote of a logarithmic function?

Back

The vertical asymptote of y = log_b(x - h) + k is x = h.

Tags

CCSS.HSF-IF.C.7E

Front

What does the base of a logarithm indicate?

Back

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

Front

How do you convert a logarithmic equation to an exponential equation?

Back

If y = log_b(x), then it can be rewritten as b^y = x.

Tags

CCSS.HSF.BF.B.5

Front

What is the effect of changing the base of a logarithm?

Back

Changing the base of a logarithm affects the steepness and position of the graph.

Tags

CCSS.HSF-IF.C.7E

Front

What is the significance of the point (1,0) on the graph of a logarithmic function?

Back

The point (1,0) indicates that log_b(1) = 0 for any base b.

Front

How do you graph a logarithmic function?

Back

To graph a logarithmic function, identify the vertical asymptote, plot key points, and determine the end behavior.

Tags

CCSS.HSF-IF.C.7E