Question

Brandon was asked to identify the relative maximum of the polynomial function h(x). Which answer choice identifies the correct value(s)?

a) There is no relative maximum for the given polynomial.
b) The relative maximum occurs at x = 1.
c) The relative maximum occurs at x = -3.
d) The relative maximum occurs at x = 3.

Answer 1

The relative maximum occurs at x = -3.

Step-by-step explanation:

The correct answer is c) The relative maximum occurs at x = -3. To identify the relative maximum of a polynomial function, you need to find the highest point on the graph of the function. This occurs at a critical point where the derivative changes sign from positive to negative. In this case, the relative maximum occurs at x = -3.