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**Graph of Exponential Functions**

Chapter 3 Lesson G

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**Exponential Functions**

The general exponential function has form f(x) = a^x where a>0, a≠1 y=0 is a horizontal asymptote

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Example Graph y= 2^x

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**General Exponential Function**

y= a x b ^(x-c) +d b controls how steeply the graph increases or decreases c controls horizontal translation D controls vertical translation and y=d is the equation of the horizontal asymptote

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**General Exponential Function**

If a>0, b>1 If a>0, 0<b<1 If a<0, b>1 If a<0, 0<b<1

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**Horizontal Asymptotes**

y= a x b ^(x-c) +d In this function y=d is the horizontal asymptote Using these you can obtain a reasonably accurate sketch of the graph Horizontal asymptote Y-intercept Two other points, say when x=2, x=-2

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Example

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Homework Page #1-5

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Exponential Growth and Decay Functions. What is an exponential function? An exponential function has the form: y = ab x Where a is NOT equal to 0 and.

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