f(x)=log(x)+4

Assessment Lesson 08.08 Graphing Logarithmic Functions

f(x) = log3 (x) – 1

Characteristics and parts of a logarithmic function and

its graph

Range of radical function = [0, infinity)

Range of logarithmic function = (-infinity, infinity) and graph of logarithmic function has 1 vertical asymptote

The logarithmic function is defined as the inverse of the exponential function.

Such logarithmic graphs of the form have certain characteristics in common

• the domain is all positive real numbers (never zero)

• the range is all real numbers

• graph passes the vertical line test - it is a function

• graph passes the horizontal line test - its inverse is also a function.

• graph is asymptotic to the y-axis - gets very, very close to the y-axis but does not touch it or cross it.

f(x) = log (x – 2)

f(x)=(0.3x)

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# Assessment Lesson 08.08 Graphing Logarithmic Functions

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