Question

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

Answer 1

B. (3,4) is most likely to be a relative maximum.

Answer 2

The correct option is B. The relative maximum for the given graph is at (3,4).

Explanation:

A point is called relative maximum if it is higher than the points directly beside it on both sides.

From the given graph it is clear that at x=3 the value of y is 4. The value of y less than 4 in the neighborhood of 3.

Since the value of function just before and after x=3 is less than 4, therefore the relative maximum for the given graph is at (3,4).

At x=3 we get,

local maximum value = 4

Relative maximum = (3,4)

Option B is correct.