1 / 12

Section 2.5 Concavity

Section 2.5 Concavity. Lines are functions with constant rates of change What if we have increasing or decreasing rates of change? What happens with our graph if our rate of change is increasing? What happens if it is decreasing?. Describe the difference in the two data sets

rehan
Download Presentation

Section 2.5 Concavity

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Section 2.5Concavity

  2. Lines are functions with constant rates of change • What if we have increasing or decreasing rates of change? • What happens with our graph if our rate of change is increasing? • What happens if it is decreasing?

  3. Describe the difference in the two data sets • How do they differ? • You may want to use rates of change to help

  4. Graph the distance of each cyclist • Describe the shape of the graph and explain the shape using average rate of change

  5. When the graph bends upward (as in Mike’s case) we say the graph is concave up • Thus when the rate of change is increasing, our function is concave up • When the graph bends downward (as in Jen’s case) we say the graph is concave down • Thus when the rate of change is decreasing, our function is concave down • Is there any relationship between whether a graph is increasing/decreasing and concave up/down?

  6. Concave up and increasing!!!

  7. Concave up and decreasing!!!

  8. Concave down and increasing!!!

  9. Concave down and decreasing!!!

  10. In your groups try problems 1, 15, and 19

More Related