Question

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)

Answer 1

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