Which is an exponential growth function f(x)=6(0.25)x f(x)=0.25(5.25)x

Question

Which is an exponential growth function f(x)=6(0.25)x
f(x)=0.25(5.25)x

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Elliana 4 days 2021-09-14T23:24:45+00:00 2 Answers 0

Answers ( )

    0
    2021-09-14T23:26:10+00:00

    Answer:

    The correct answer option is B.  f ( x ) = 0 . 2 5 ( 5 . 2 5 ) ^ x .

    Step-by-step explanation:

    If the numbers are positive along with the base of the exponent which must be greater than 1, then it an exponential growth function.

    1. f(x)=6(0.25)^x:

    Here the numbers are positive but the base of the exponent is 0.25 which is less than 1 so it is not an exponential growth function.

    2.  f ( x ) = 0 . 2 5 ( 5 . 2 5 ) ^ x :

    Positive numbers with base of the exponent greater than 1, therefore it is an exponential growth function.

    0
    2021-09-14T23:26:12+00:00

    Answer: Second Option

    f(x)=0.25(5.25)^x

    Step-by-step explanation:

    The exponential growth functions have the following form:

    f(x) = a(b)^x

    Where a is the main coefficient, b is the base and x is the exponent.

    For this type of functions the base b must always be greater than 1. Otherwise it would be an exponential decay function

    Among the options given, the only function whose base is greater than 1 is the second option:

    f(x)=0.25(5.25)^x

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