Which exponential functions represent exponential decay? Select all that apply. f(x)=0.25(1.5)3x

Question

Which exponential functions represent exponential decay?

Select all that apply.

f(x)=0.25(1.5)3x

f(x)=(0.85)x

f(x)=(1.01)x

f(x)=1.8(0.6)x

f(x)=(0.95)2x-*

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Gabriella 3 weeks 2021-09-22T02:06:38+00:00 1 Answer 0

Answers ( )

    0
    2021-09-22T02:07:42+00:00

    Answer:

    The function representing exponential decay are:

    b)  f(x)=(0.85)^{x}

    d)  f(x)=1.8(0.6)^{x}

    e) f(x)=(0.95)^{2x}

    Step-by-step explanation:

    The exponential function is given as:

    f(x)=ab^x

    where a\neq 0, b\neq 1, and b > 0.

    If a>0 and 0<b<1 then the function represents exponential decay.

    If  a>0 and b>1 then the function represents exponential growth.

    Thus, we can check each function given.

    a) f(x)=0.25(1.5)^{3x}

    For the given function a=0.25>0 and b=1.5>1. So, it represents exponential growth.

    b)  f(x)=(0.85)^{x}

    For the given function a=1>0 and 0<b=0.85<1. So, it represents exponential decay.

    c)  f(x)=(1.01)^{x}

    For the given function a=1>0 and b=1.01>1. So, it represents exponential growth.

    d)  f(x)=1.8(0.6)^{x}

    For the given function a=1.8>0 and 0<b=0.6<1. . So, it represents exponential decay.

    e) f(x)=(0.95)^{2x}

    For the given function a=1>0 and 0<b=0.95<1. . So, it represents exponential decay.

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