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25 June, 17:37

Which of the following are exponential functions? Select all correct answers.

Select all that apply:

a) f (x) = 4 (1/4) ^x

b) g (x) = 14 (4) ^x

c) h (x) = 10x^5

d) j (x) = -9x^4

e) k (x) = 6 (5.49) ^x

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  1. 25 June, 17:44
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    a) f (x) = 4 (1/4) ^x

    b) g (x) = 14 (4) ^x

    e) k (x) = 6 (5.49) ^x

    Step-by-step explanation:

    If x is in the exponent (that is, something elevated to x), it is an exponential function.

    Otherwise, if x is in the base (that is, x elevated to something), it is a polynomial function.

    a) f (x) = 4 (1/4) ^x

    x in the exponent, so exponential

    b) g (x) = 14 (4) ^x

    x in the exponent, so exponential

    c) h (x) = 10x^5

    x in the base, so polynomial

    d) j (x) = -9x^4

    x in the base, so polynomial

    e) k (x) = 6 (5.49) ^x

    x in the exponent, so exponential
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