Transcription of Exponential Functions - Regent University
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Exponential Functions - Regent University
1 Property of Regent University Math Tutoring Lab, Adapted from Textbook Information, edited 5/16/2019 Exponential Functions Exponential Functions An Exponential function with base b is denoted by ( )= where b and x are any real numbers such that >0 and 1. Review sections for properties of exponents. Example 1: Let ( )=4 , ( )=19 , ( )=10 1. Find the following values. If an approximation is required, approximate to four decimal places. (2), ( ), ( 32), ( ), (0), (0) (2)=42=16 ( )=4 ( 32)=19 3/2=93/2= 93=33=27 ( )= 1= (0)=40=1 (0)=190=1 Graphs of Exponential Functions Exponential Functions can be graphed by plotting points. Usually, it is useful to find the points for =0,1, 1. Example 1: Graph the function ( )=4 . Label the y-intercept by finding ( )=4 when =0. (0)=40=1 First point is (0, 1).
Exponential form: 125=53 c) log648= 1 2 Exponential form: 8=64 1 2 Example 2: Rewrite the following exponentials in logarithmic form using y=logbx if and only if x=by Where b, the base, is represented in green, x, the information within our logarithm and the solution in our exponential, is represented in blue, and y, the solution to our ...
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