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Power Function:

Analyze and model the power function: Exercise 1

(Correctly identify the function and later use it to answer the questions asked, including the development and the answer)

Power FunctionAnalyze and model the power function Exercise 1Correctly identify the function and later use it to answer the questions asked including the develo class=

Respuesta :

mhanifa

Answer:

The function is:

  • f(x) = axⁿ

According to data in the table we have:

  • f(1) = 3 ⇒ a(1)ⁿ = 3 ⇒ a*1 = 3 ⇒ a = 3
  • f(2) = 12 ⇒ 3*2ⁿ = 12 ⇒ 2ⁿ = 4 ⇒ n = 2

Since we found the values of a and n, the function becomes:

  • f(x) = 3x²

The number of infected to the tenth day:

  • f(10) = 3*10² = 300

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