Question

The polynomial function model the number of thefts,f(x), in thousands in the United States x years after 1987. Will this function e useful in modeling the number of thefts over an extended period of time? Explain your answer

Answer 1

Not useful.

Explanation:

Please consider the complete question.

The polynomial function
`f(x)=0.87x^3+0.35x^2+81.62x+7684.94` models the number of thefts, f(x), in thousands in the United States x years after 1987. Will this function be useful in modeling the number of thefts over an extended period of time? Explain your answer.

We can see that the leading coefficient of our given polynomial is negative.

The function will be positive for negative input as leading degree is odd.

Since time cannot be negative, so we need to enter positive values in the given function.

When we will enter large positive number in our given function, the number of thefts will be negative.

Therefore, the function is not useful in modeling the number of thefts over an extended period of time.