Can you help me find y value in this problem?

Question

Consider on .

Absolute Maximum value................. at ..............,................. ,..................

Absolute Minimum value................. at ...............,................ ,..................

(If applicable, enter coordinates in increasing order of . Enter N in any blank that is not needed.)

I just got the derivative which is (y-2)/|y-2|=0, then y=2. how can I get the other values for y?

Answer 1

You don't actually need to take the derivative for this question as you see that the graph of this function is just a V formed by two lines with slope -1 and 1. You've already found the absolute minimum at y = 2. The maximum values occur at y = 0 and y = 4, which are the ends of the domain of this function.