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

Question

Responses

There is a relative minimum at x=1.
There is a relative minimum at x is equal to 1. - no response given

There is no relative maximum in this graph.
There is no relative maximum in this graph. - no response given

There is a relative maximum at x=2.
There is a relative maximum at x is equal to 2. - incorrect

There is a relative maximum at x=0.- correct
explain how you get that answer

Answer 1

To identify the relative maximum of a polynomial function, we need to analyze the slope of the graph. A relative maximum occurs when the slope changes from positive to negative.

In this case, the correct answer is "There is a relative maximum at x=0." This is because the slope changes from positive to negative at x=0, indicating a relative maximum.