Question

consider the function f(x)=x4−72x2 6,−5≤x≤13. this function has an absolute minimum value equal to and an absolute maximum value equal to

Answer 1

To find the absolute minimum and maximum values of the function f(x) = x^4 - 72x^2 + 6, one must calculate the function's derivative, identify critical points, and evaluate the function at those points as well as the interval's endpoints.

Step-by-step explanation:

The question revolves around finding the absolute minimum and maximum values of the polynomial function f(x) = x4 − 72x2 + 6 over the interval −5 ≤ x ≤ 13. To determine these values, we need to:

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The largest of these values will be the absolute maximum, and the smallest will be the absolute minimum. These steps require the use of calculus, specifically the application of the first derivative test and the evaluation of the function at critical points.

Since the specific calculations and critical points are not provided, we cannot give the exact minimum and maximum values. Still, this process is how one would find them.