Question

For the function f(x) sketched, find for what x does the function f(x) reach
(a) the absolute maximum value,
(b) the absolute minimum value,
(c) What is the absolute maximum value of f(x)?,
(d) What is the absolute minimum value of f(x)?

Answer 1

In continuous and differentiable intervals, you can apply first or second derivative tests. Take the results. Then compare it with the values at the break. You have your max and min.

By the way, what is the difference between (a) and (c), (b) and (d)?

Answer 2

Not sure, what the difference is, if any. Im just not sure how to use the graph to find the max and min