Explanation Graph: The function f ( x ) = 5 x is an exponential function. Firstly, write the properties of the exponential function. 1. The graph of the function f ( x ) = b x will contain the point ( 0 , 1 ) because for all the values of b , f ( 0 ) = b 0 = 1 . 2. When the value of b greater than 1, the graph will rise from left to right. 3. When the value of b lies between 0 and 1, then the graph will fall from left to right. 4. The x -axis is a horizontal asymptote. 5. The domain is ( − ∞ , ∞ ) and the range is ( 0 , ∞ ) . Compare the provided function f ( x ) = 5 x with the f ( x ) = b x , then the value of b = 5 which is greater than 1

Mathematical Ideas with Integrated Review and Worksheets plus NEW MyLab Math with Pearson eText -- Access Card Package (Integrated Review Courses in MyLab Math and MyLab Statistics)

1st Edition

ISBN: 9780321977274

Author: Miller, Charles, Heeren, Vern, HORNSBY, John, Christopher

Publisher: PEARSON

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Chapter 8.6, Problem 18E

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The function f(x)=5x.

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Chapter 8.6, Problem 17E

Chapter 8.6, Problem 19E

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Mathematical Ideas with Integrated Review and Worksheets plus NEW MyLab Math with Pearson eText -- Access Card Package (Integrated Review Courses in MyLab Math and MyLab Statistics)

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