Question

Which equation represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2h equatWhich equation represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2ion represents an exponential function with an initial value of 500? f(x) = 100(5)x f(x) = 100(x)5 f(x) = 500(2)x f(x) = 500(x)2

Answer 1

a

Explanation:

Answer 2

(c) f(x) = 500(5^x)

Explanation:

An exponential function is one that has the independent variable (x) in the exponent. The initial value of an exponential function (or any function) is the value when x=0.

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Examine the Choices

You are looking for a function with x in the exponent, and with an initial value of 500. Eliminate answer choices that don't have x in the exponent. Evaluate the remaining choices for x=0 and see which gives you a value of 500.

f(x) = 100(5)^x ⇒ f(0) = 100·1 = 100 ≠ 500

f(x) = 100(x^5) . . . not an exponential function

f(x) = 500(5)^x ⇒ f(0) = 500·1 = 500 . . . . . the function you're seeking

f(x) = 500(x^2) . . . not an exponential function