Which of the following is an example of an exponential function?

A.)f(x) = 4x3 + 2x2 – 3x + 9
B.) g(x) = log2(x)3
C.) h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
D.) p(x) = 500(1.02)x

Question

31-05-2022
Mathematics

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Which of the following is an example of an exponential function?

A.)f(x) = 4x3 + 2x2 – 3x + 9
B.) g(x) = log2(x)3
C.) h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
D.) p(x) = 500(1.02)x

Sagot :

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Jimthompson5910idn Jimthompson5910idn · Answer 1 · 2022-05-31T22:17:20-04:00

Answer: Choice D [tex]p(\text{x}) = 500(1.02)^{\text{x}}[/tex]

Reason:

Exponential functions have the variable in the exponent.

Choice A is a polynomial, which means we can rule it out. Choice B is a log function, so we can rule it out also.

Choice C is a rational function because it is a ratio of two polynomials. This rules out choice C.

Choice D is the only function with the variable in the exponent. That is assuming you meant to say [tex]p(\text{x}) = 500(1.02)^{\text{x}}[/tex] instead of [tex]p(\text{x}) = 500(1.02){\text{x}}[/tex]

Sagot :

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