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Exponential Functions Date Period Evaluate each function at the given value 1 f x x at x 2 f n n at n 3 f n n at n 4 g x x at x Sketch the graph of each function 5 f x x x y
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Graphing Exponential Functions Name Period Ex 1 The function y 3 x is called an function because the exponent is a Now let s look at how to graph the exponential function y 3 x x 3 x y
An exponential function with base b is defined by f x abx where a 0 b 0 b 1 and x is any real number The base b is constant and the exponent x is a variable In the following example a 1 and b 2 x y f x
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Graphing Exponential Functions Name Date Period 1 Sketch the graph of each function 1 y x x y Create your own worksheets like this one with Infinite Precalculus Free trial available at KutaSoftware Title document1 Author
Create a table of values for each exponential function Then sketch the graph of each function 1 1 f x 6 4 2 2 4 6 x 3 f x x 4 6 4 2 2 4 6 x 5 What is the difference in the graph when a whole number is raised to the exponent vs when a fraction is raised to the exponent 2 f x 2x 6 4 2 2 4 6 x
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Exponential Functions Date Period Evaluate each function at the given value 1 f x x at x 2 f n n at n 3 f n n at n 4 g x x at x Sketch the graph of each function 5 f x x x y
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Graph exponential functions Solve real life problems involving exponential functions Identifying and Evaluating Exponential Functions An b exponential function is a nonlinear function of the form y abx where a 0 1 and b 0
Exponential Functions Date Period Evaluate each function at the given value 1 f x x at x 2 f n n at n 3 f n n at n 4 g x x at x Sketch the graph of each function 5 f x x x y
Graph exponential functions Solve real life problems involving exponential functions Identifying and Evaluating Exponential Functions An b exponential function is a nonlinear function of the form y abx where a 0 1 and b 0
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