Download presentation

Presentation is loading. Please wait.

Published byJanice Foulks Modified over 2 years ago

1
Warm Up 1.Write the standard form of the quadratic function given a vertex and a point: vertex : (-4,-1) point: (-2,4) 2. State the vertex of the following function: F(x) = x 2 - 7

2
Math IV Lesson 8 Polynomial functions of higher degrees Essential Question: How do you sketch graphs of polynomial functions? Standard: MM4A4. Students will investigate functions. a. Compare and contrast properties of functions within and across the following types: linear, quadratic, polynomial, power, rational, exponential, logarithmic, trigonometric, and piecewise.

3
1. Continuous- a graph that has no breaks, holes, or gaps. 2. Leading coefficient test- is used to determine the end behavior of a polynomial function. 3. Zero- a zero of a function f is a number x such that f(x) = 0. 4. Relative extrema- maximas and minimas

4
Leading coefficient test

7
1. a function f of highest degree n has at most n real zeros. 2. The graph f of highest degree n has at most n-1 relative extrema (max or min)

8
Find all of the zeros of the polynomial function. (hint: factor) F(x) = x 3 –x 2 -2x 0 = x 3 –x 2 -2x 0 = x (x 2 –x -2) 0 = x (x-2)(x+1) X = 0 x – 2 = 0 x + 1 = 0 X = 0 x = 2 x = -1 Zeros are 0, 2, and -1

9
Repeated zeros For a polynomial function a factor (x-a) k, k > 1 yields a repeated zero x = a of multiplicity k. 1.If K is odd, the graph crosses at that zero. 2.If k is even, the graph touches at that zero. Example: F(x) = (x-2) 2 (x+4) 3 x – 2 = 0 x + 4 = 0 X = 2 x = -4 Mult = 2 mult = 3 Touches crosses

Similar presentations

Presentation is loading. Please wait....

OK

7.1 Polynomial Functions Evaluate Polynomials

7.1 Polynomial Functions Evaluate Polynomials

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on energy giving food group Download ppt on turbo generator hybrid Ppt on energy cogeneration definition Ppt on steve jobs biography review Ppt on ministry of corporate affairs govt Ppt on multi level marketing Ppt on leadership development Ppt on human nutrition and digestion worksheet Ppt on area of parallelograms Ppt on world diabetes day shirt