An analyst for a new company used the first three years of revenue data to project future revenue for the company. The analyst predicts the function
f(x) = - 2x5 + 6x4 – x3 +5x2 + 6x + 50 will give the revenue after x years. Should the CEO expect the company to be successful? Explain.

Respuesta :

The revenue function is positive after 3 years, hence the CEO should expect the company to be successful.

Given the function that predicts the future revenue of a company expressed as:

[tex]f(x) = - 2x^5 + 6x^4 -x^3 +5x^2 + 6x + 50[/tex]

If an analyst for a new company used the first three years of revenue data to project future revenue for the company, substitute x = 5 into the function;

[tex]f(3) = - 2(3)^5 + 6(3)^4 -(3)^3 +5(3)^2 + 6(3) + 50\\f(3) = - 486 + 486 - 27 + 45 + 18 + 50\\f(3) = 48[/tex]

Since the revenue function is positive after 3 years, hence the CEO should expect the company to be successful.

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