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)2
Answers
Given : Few Equations
To Find : 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)²
Solution
exponential function with an initial value of 500
=> x = 0 f(x) = 500
f(0) = 500
a
f(x) = 100.(5)ˣ => f(0) = 100.(5)⁰ = 100 . 1 = 100
f(x) = 100(x)⁵ => f(0) = 100.(0)⁵ = 100 . 0 = 0
f(x) = 500(2)ˣ => f(0) = 500.(2)⁰ = 500 . 1 = 500
f(x) = 500(x)² => f(0) = 500.(0)² =500 . 0 = 0
f(x) = 500(2)ˣ => f(0) = 500.(2)⁰ = 500 . 1 = 500
500(2)ˣ represents an exponential function with an initial value of 500
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Answer:
the answer is c
Step-by-step explanation: