Graphs - Increasing/Decreasing Intervals

[ceity]

Homework Statement

#1: The graph of f' is shown. Find the intervals on which f increases.

#2: The graph of f'(x) is shown. Give the interval(s) where the graph in concave down.

Homework Equations

Not sure.

The Attempt at a Solution

#1: Well, I thought it was (-infinity, infinity), but I got incorrect. X and Y are both increasing.

#2: I got (0, infinity) incorrect, which confuses me, because I thought concave down was like an upside down U.

 

[Dick]

Homework Statement

#1: The graph of f' is shown. Find the intervals on which f increases.

#2: The graph of f'(x) is shown. Give the interval(s) where the graph in concave down.

Homework Equations

Not sure.

The Attempt at a Solution

#1: Well, I thought it was (-infinity, infinity), but I got incorrect. X and Y are both increasing.

#2: I got (0, infinity) incorrect, which confuses me, because I thought concave down was like an upside down U.

The problem says those are the graphs of f'(x) and then the first questions asks about where f(x) is increasing, not f'(x). How can you tell if f(x) is increasing from knowing f'(x)? It's likely the second one means the same though they don't spell out which graph is supposed to be concave. It also might be a stretch claiming you know what the graph looks like near infinity when they are only showing you a small part.