brando. was asked to identify the relative maximum of the polynomial of the polynomial function h(x) which answer chouce imdetifies the correct value(s)

Question

A. There is a relative maximum at x=0
B. There is a relative minimum at x=1
C. There is a relative maximum at x=2

Answer 1

To determine the relative maximum of the polynomial function \( h(x) \), we would typically need the actual function \( h(x) \) or its derivative \( h'(x) \) to analyze its critical points. Critical points occur where \( h'(x) = 0 \) or where \( h'(x) \) is undefined. To identify whether these points are relative maxima or minima, we would evaluate the sign of the first derivative before and after these points or use the second derivative test.

Since there is no specific function provided, I cannot definitively indicate which of the answer choices (A, B, or C) is correct.

However, based on typical choices given in problems like this, these statements could indicate scenarios where critical points are being evaluated.

Here’s how you might choose an answer logically based on common practices in calculus:

• Check if \( x=0 \), \( x=1 \), and \( x=2 \) are critical points by substituting them into \( h'(x) \).
• Then use either the first or second derivative tests to identify whether each critical point is a maximum or minimum.

If you can provide the function \( h(x) \) or additional information, I could help clarify further!