Question

If f is a continuous function on [0, 6] having
(1) a local maximum at 2,
(2) an absolute minimum at 4, and
(3) an absolute maximum at 6,
which one of the following could be the graph
of f?

Answer 1

1) local max at 2 so graph 2, 3 or 4

Answer 2

2) absolute min at 4 so 2 or 4

Answer 3

you could only choose one graph that satisfy (1) a local maximum at 2, (2) an absolute minimum at 4, and (3) an absolute maximum at 6.