Increasing, Decreasing, Concavity in AP Precalc

In this video we go over how to visually see if a function is increasing, concave up; increasing, concave down; decreasing, concave up; or decreasing, concave down. You need to know these things: If f is increasing, f's slope is positive. If f is decreasing, f's slope is negative. If f is concave up, f's slope is increasing. If f is concave down, f's slope is decreasing. Slope and "rate of change" are interchangeable terms. It's really important to be able to do this and you WILL get good at it, but it takes a minute to get good with concavity. My advice: MEMORIZE the shapes.