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The function f(x) = –x2 + 18x – 72 models the daily profit, in dollars, a gym makes for selling memberships, where x is the number of memberships sold, and f(x) is the amount of profit. Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points) Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)

Respuesta :

A) The vertex of the given function is; (9, 9)

B) The x-intercepts are; x = 12 or x = 6  

How to find the vertex of a function?

A) We are given the function;

f(x) = x² + 18x - 72

Using method of completing the square, we have;

f(x) = (x - 9)² + 9

Thus, the vertex is (9, 9).  The vertex is the point where the maximum amount of profit is made.

B) f(x) = x² + 18x - 72

Factorizing gives us;

f(x) = (x - 12)(x - 6)

At f(x) = 0, we have;

x - 12 = 0    x - 6 = 0

x = 12 or x = 6

Read more about Function Vertex at; https://brainly.com/question/1480401

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