1 / 8

Do Now

Do Now. At door. This is a regular polygon. What does regular mean? Get a book please!. Objectives. 8.October.2013 Scholars will be able to… Evaluate proper use of VANG Identify locations of extrema and intervals of increasing and decreasing behaviour. Extrema.

ginny
Download Presentation

Do Now

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. Do Now • At door. • This is a regular polygon. What does regular mean? • Get a book please!

  2. Objectives • 8.October.2013 • Scholars will be able to… • Evaluate proper use of VANG • Identify locations of extrema and intervals of increasing and decreasing behaviour.

  3. Extrema • Extremum is the singular of extrema. • An extremum is a maximum or a minimum on the graph. • has a maximum at if for all for any arbitrary • has a minimum at if for all for any arbitrary

  4. Increasing/Decreasing • A graph is said to be increasing on an open interval if for all and such that , if and only if

  5. Increasing/Decreasing • A graph is said to be decreasing on an open interval if for all and such that , if and only if

  6. Absolute Max vs. Relative Max • Absolute – this is the highest/lowest point, full stop. • This may be an endpoint (if endpoint is included) • Relative – just the highest/lowest point around. • A max/min can be relative and absolute.

  7. Practice • Problems #1-9 (G) odd • Problem #11 (A) odd

  8. Example • Find the extrema • Approximate -coordinates • Set up intervals • Label as inc/dec We use if the graph goes “off screen” to the left or right. Dec Inc Dec Inc Dec No gaps in our graph means no gaps in our intervals (the endpoint of one is the starting point off the next.) First extrema

More Related