Question

The curve ascends in quadrant 3 from left parenthesis negative 1.25 comma negative 4 right parenthesis, and intersects the x-axis into quadrant 2 at left parenthesis negative 0.73 comma 0 right parenthesis. It peaks at left parenthesis 0 comma 2 right parenthesis on the y-axis, then descends into quadrant 1. The curve intersects the x-axis into quadrant 4 at left parenthesis 1 comma 0 right parenthesis, and forms a valley at left parenthesis 2 comma negative 2 right parenthesis. The curve rises and intersects the x-axis at left parenthesis 2.73 comma 0 right parenthesis. All values are approximate.Brandon was asked to identify the relative maximum of the polynomial function h(x) . Which answer choice identifies the correct value(s)?(1 point)ResponsesThere 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

Correct choice: There is a relative maximum at x = 0.

Reason: the graph reaches a peak at (0, 2), where h(x) changes from increasing to decreasing, so x = 0 is a relative maximum.