LailaNicole
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Show that an exponential model fits the data. Then write a recrusive rule that models the data.

n = 0, 1, 2, 3, 4, 5,
f(n) = 0.75, 1.5, 3, 6, 12, 24.

(this is a rectangular graph ^)​

Respuesta :

mhanifa

Answer:

Exponential function:

  • f(x) = abˣ

Use the given data to determine the function.

  • f(0) = ab⁰ = a*1 = a ⇒ a = 0.75
  • b = 2 as each of the f(n) is twice the previous one in series.

The model is:

  • f(n) = 0.75*2ⁿ

Recursive rule to reflect this is:

  • f(0) = 0.75
  • f(n) = 2*f(n-1)

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