Which of the following most accurately identifies the relative maximum and minimum of the polynomial function h(x) ?

Question

(1 point)
Responses

There is a relative minimum at x=−1 and a relative maximum at x=0.555.
There is a relative minimum at x equals negative 1 and a relative maximum at x equals 0.555 .

There is a relative maximum at x=1.5 and a relative minimum at x=−2.
There is a relative maximum at x equals 1.5 and a relative minimum at x equals negative 2 .

There is a relative maximum at x=−1 and a relative minimum at x=0.555.
There is a relative maximum at x equals negative 1 and a relative minimum at x equals 0.555 .

There is a relative maximum at x=−1 and no relative minimum.
There is a relative maximum at x equals negative 1 and no relative minimum.
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Answer 1

To accurately identify the relative maximum and minimum of the polynomial function \( h(x) \), we typically would need to analyze the function's first and second derivatives. The first derivative \( h'(x) \) helps us find critical points, and the second derivative \( h''(x) \) can help determine whether those points are maxima or minima.

Without the explicit function or its derivatives, I cannot determine the correct response among the options provided. However, if the critical points have been found and analyzed, you would choose the statement that accurately reflects the behavior of the function.

If you have specific values or derivatives of \( h(x) \), please provide that information to assist in finding the relative maximum and minimum points accurately.