Question

Which of the following is most likely to be a relative maximum for this graph?

Answer 1

The relative maximum for this graph is most likely to be choice A

Answer 2

Answer:

A. (-1,8)

Step-by-step explanation:

We know that,

Relative maximum/minimum at a point 'c' is obtained by equating the derivative of a function to 0.

As the derivative of a function at a point represents the tangent line at the point which is parallel to x-axis.

So, in order to find the relative maximum, we will find the highest point at which the tangent is parallel to the x-axis.

Since from the graph, we see that,

The point (-1,8) is the highest point such that tangent is parallel to the x-axis.

We get, (-1,8) is the relative maximum point.

Thus, option A is correct.