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Assessment Lesson 08.08 Graphing Logarithmic Functions

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shayla larry

on 17 February 2014

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Transcript of Assessment Lesson 08.08 Graphing Logarithmic Functions

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)
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