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Graph of Exponential Functions Chapter 3 Lesson G.

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Presentation on theme: "Graph of Exponential Functions Chapter 3 Lesson G."— Presentation transcript:

1 Graph of Exponential Functions Chapter 3 Lesson G

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

3 Example  Graph y= 2^x

4 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

5 General Exponential Function  If a>0, b>1  If a>0, 0

6 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

7 Example

8 Homework  Page #1-5


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