The exponential function f(x) has a horizontal asymptote at y = 3. What is the end behavior of f(x)?   A. As x decreases, f(x) approaches, but never reaches, 3. As x increases, f(x) increases.   B. As x decreases, f(x) approaches, but never reaches, 0. As x increases, f(x) increases.   C. As x decreases, f(x) approaches, but never reaches, 3. As x increases, f(x) decreases.   D. As x decreases, f(x) decreases. As x increases, f(x) approaches, but never reaches, 3.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
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Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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The exponential function f(x) has a horizontal asymptote at y = 3.



What is the end behavior of f(x)?

  •  
    A.

    As x decreases, f(x) approaches, but never reaches, 3. As x increases, f(x) increases.

  •  
    B.

    As x decreases, f(x) approaches, but never reaches, 0. As x increases, f(x) increases.

  •  
    C.

    As x decreases, f(x) approaches, but never reaches, 3. As x increases, f(x) decreases.

  •  
    D.

    As x decreases, f(x) decreases. As x increases, f(x) approaches, but never reaches, 3.

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