Use your sketch to find the absolute and local maximum and minimum values of f. (If there is not one, enter NONE.)

Question

Find the absolute and local maximum and minimum of f;

f(x) = 2 + (x + 1)²
-2 ≤ x < 7

Answer 1

The absolute minimum is 2 when x=-1. That’s the lowest point (vertex).

The local maximum is a limit since x has to be less than 7, so the maximum for f approaches 66, but does not attain it.