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

Question

(1 point)
Responses

There is a relative maximum at x=2.
There is a relative maximum at x equals 2 .

There is a relative maximum at x=0.
There is a relative maximum at x equals 0 .

There is a relative minimum at x=1.
There is a relative minimum at x equals 1 .

There is no relative maximum in this graph.

Answer 1

To determine the relative maximum of the polynomial function \( h(x) \), we need more information about the function itself or a graph of the function.

However, based on the responses provided, if you have identified a point where \( h(x) \) reaches a higher value compared to its immediate surrounding points, that would be a relative maximum.

If Brandon has identified:

• \( x = 2 \) as a point where \( h(x) \) has a higher value than nearby points, then either response indicating \( x = 2 \) would be correct.
• Conversely, if \( x = 0 \) is identified and has a higher value than the surrounding points, then those responses would be correct.

If the other options indicate a relative minimum or state there is no relative maximum, these would not be correct if there indeed is a relative maximum present.

So the correct choice(s) would depend on the specific behavior of the function \( h(x) \). Please refer to the analysis or graph of \( h(x) \) to select the appropriate response.