1 / 16

Understanding Polynomial Functions: Roots and Graphing Techniques

In this warm-up session, we explore the characteristics of polynomial functions, focusing on cubic and quartic equations. We'll analyze the concept of double roots, where a term like (x+1)² touches the x-axis without crossing it. We will also discuss graph behaviors such as positive leading coefficients, ending trends, and sketching interceps. A step-by-step guide on using the calculator for quadratic regression and finite differences will help in finding equations. Lastly, practice problems from the workbook will reinforce these concepts.

xiu
Télécharger la présentation

Understanding Polynomial Functions: Roots and Graphing Techniques

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. Warm Up #4 ANSWER

  2. Check HW 5.7

  3. Since the term (x + 1) is to the second power(even power), it touches the x-axis without passing through. That is what a double root looks like on a graph. This is cubic – lazy s shape – positive leading coefficient – ends up going up.

  4. y= -3(x – 3)(x – 1)(x +2)2 Quartic – w or m ??? Up or down???

  5. Graph the intercepts, it is cubic – lazy s – positive leading coefficient – ends up going up. Make a quick sketch!

  6. A. B.

  7. Use the calculator – Stat Edit – x in L1 and y in L2 – STAT Calc Quad Reg

  8. 1 4 13 34 73 136

  9. Find the equation using finite differences. f(-3) =213, f(-2) = 25, f(-1) = -7, f(0) = -3, f(1) = -11, f(2) = -7, f(3) = 205

  10. Homework Practice workbook 5.8 # 1 – 27 odd 5.9 # 1, 5, 7, 10, 11

More Related