Presentation is loading. Please wait.

Presentation is loading. Please wait.

2.5 CONCAVITY.

Similar presentations


Presentation on theme: "2.5 CONCAVITY."— Presentation transcript:

1 2.5 CONCAVITY

2 Example: Consider the salary function S(t) shown in Table 2.15 and Figure 2.20, where t is time in years since being hired. Since the rate of change increases with time, the slope of the graph increases as t increases, so the graph bends upward. We say such graphs are concave up.

3 Increasing and Decreasing Functions; Concavity
Increasing and concave down Decreasing and concave down Decreasing and concave up Increasing and concave up

4 Summary: Increasing and Decreasing Functions; Concavity
• If f is a function whose rate of change increases, then the graph of f is concave up. That is, the graph bends upward. • If f is a function whose rate of change decreases, then the graph of f is concave down. That is, the graph bends downward. If a function has a constant rate of change, its graph is a line and it is neither concave up nor concave down.


Download ppt "2.5 CONCAVITY."

Similar presentations


Ads by Google