Explanation Given information: The function is f ( x ) = e x . Calculation: The function is f ( x ) = e x . Graph of the function is: From the graph, observe that: The exponential function is defined for all value of x , thus the domain is ( − ∞ , ∞ ) . The exponential function is increasing function. The horizontal asymptote of the graph is y = 0 . It has no vertical asymptote. The exponential function is continuous everywhere. Check the value of exponential function, when x grows infinitely large negative. lim x → − ∞ f ( x ) = lim x → − ∞ e x = 0 Check the value of exponential function, when x grows infinitely large positive

15th Edition

ISBN: 9781305420878

Author: Stewart

Publisher: CENGAGE L

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Question

Chapter 3.2, Problem 17E

To determine

Draw the graph of the function. Also, draw the graph of the function f′ and write a formula for f′(x) from its graph.

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Chapter 3 Solutions

BIOCALCULUS:CALCULUS F/LIFE...-W/ACCESS

Ch. 3.1 - Prob. 1E Ch. 3.1 - Prob. 2E Ch. 3.1 - Prob. 3E Ch. 3.1 - Prob. 4E Ch. 3.1 - Prob. 5E Ch. 3.1 - Prob. 6E Ch. 3.1 - Prob. 7E Ch. 3.1 - Prob. 8E Ch. 3.1 - Prob. 9E Ch. 3.1 - Prob. 10E

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Draw the graph of the function. Also, draw the graph of the function f ′ and write a formula for f ′ ( x ) from its graph.

Solution Summary: The author explains that the exponential function is defined for all value of x. The horizontal asymptote of the graph is y=0.

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Draw the graph of the function. Also, draw the graph of the function f′ and write a formula for f′(x) from its graph.

Chapter 3 Solutions