1 / 15

Analyzing graphs

This guide aims to help you identify and analyze the seven key features of graphs, crucial for graph sketching and interpretation. Learn about roots (x-intercepts), y-intercepts, intervals of increase and decrease, local maxima and minima, continuity, end behavior, and symmetry. Through practical examples, we explore these features in depth, providing insights into their significance in understanding graphs. By mastering these elements, you'll enhance your ability to sketch accurate representations and interpret graphical data more effectively.

ermin
Télécharger la présentation

Analyzing graphs

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. Analyzing graphs Objective: identify key features of a graph and use them to sketch a picture What are the 7 key features of a graph?

  2. Key Features of a Graph #1 Roots (x-intercepts/zeros) • Where does the graph cross the x axis?

  3. #2 Y-intercepts • Where does the graph cross the y axis?

  4. #3 Intervals Increasing/Decreasing From “where” to “where” is the graph increasing &decreasing? ( from left to right)

  5. #4 Local Maximums & Minimums • Where are the “turning points” ? • What are the highest & lowest values?

  6. #5 Continuity Where do any breaks in the graph occur?

  7. #6 End Behavior • What “direction” does the graph go towards at the right end/left end?

  8. ODD (symmetric about origin) EVEN (symmetric about y-axis) #7 Symmetry

  9. Describe the graph below:

  10. I’m thinking of a graph… • Roots @ -4, -1, 2 • Y-intercept at -2 • Inc. , then dec, then inc • Max apprx 2.5 , Min apprx -2.5 • Continuous • Not symmetric • End behavior on left: -∞ • End behavior on right: +∞

  11. I’m thinking of a graph… • Does not have any roots • Y-intercept at 3 • Always increasing • Minimum at 3, No maximum • Continuous • Not symmetric • End behavior on left: none • End behavior on right: +∞ • Parent function: √x

  12. Does not have any roots • Y-intercept at 2 • Dec. until 2, then inc. • Minimum at 2, No maximum • Continuous • Even • End behavior on left: +∞ • right: +∞ • Parent function: |x| I’m thinking of a graph…

  13. I’m thinking of a graph… • Has two roots • Y-intercept is positive • Increases until 0, then dec. • Even

  14. I’m thinking of a graph… • Has three roots • Y-intercept is (0,0) • Min is negative, max is postive • Dec, inc, dec. • Odd • End behavior left: +∞ • right: -∞

  15. I’m thinking of a graph… • Does not have any roots • Does not have a y-intercept • Inc. until x = 0, then dec. • No min, no max • Has a break at the x-axis • Even • End behavior on left: 0 • right: 0

More Related