University:
High School
Course:
High School Algebra
Academic year:

2020
Views:

181

Pages:

4
Author:

glutraxz

Quadratic lnequalities Essential Question How сап you solve а quadratic inequality? EXPLORATION: Solving а Quadratic Inequality Work with а partner. The graphing calculator screen shows the graph of f(x) = х2 + 2х - 3. Explain how you сап use the graph to solve the inequality х2 + 2х - 3 ::;; О. -5 Then solve the inequality. EXPLORATION: Solving Quadratic Inequalities Work with а partner. Match each inequality with the graph of its related quadratic function оп the next page. Then use the graph to solve the inequality. ;-�-,"'wc.f 1. х2 - Зх + 2 > О А \d� 2. С- х 2 - 4х f:3 • ::;; О 3. х2 6. x2 {J> О D !? - 2х __ . 3 < О б -4 j I 4 -6 б -4 F. 4 -6 4 V б -4 -4 "1 б Notetaking with Vocabulary For use after Lesson 3.6 Communicate Уour Answer 3. How can you solve а quadratic inequality? Explain how you can use the graph in Exploration 1 to solve each inequality. Then solve each inequality. 4. а. х2 + 2х - 3 > О Ь. х2 + 2х - 3 < О с. х2 + 2х - 3 � О ln your own words, write the meaning of each vocabulary term. quadratic inequality in two variaЫes -- у .. 1- v .. ' . , quadratic inequality in one variaЫe � ( i � i --- f' /'",i ,a \J -, 1 ( " / ... v. '1 � е.1 и�i'\l)i-- \,v''� j\ s- о Core Concepts Graphing а Quadratic lnequality in Two VariaЫes ' То graph а quadratic inequality in one of the following forms, ., 1 ) ( ..1 f�i р �\ 1,, h ,ч� � S,J.) Ooffecl у < ах2 + Ьх + с у-;> ах 2 + Ьх + с у _::; ах2 + Ьх + с у � ах2 + Ьх + с, follow these steps. Step 1Qt1,e parabola with the equation у = ах2 + Ьх + с. Make the parabola dashed for inequalities with < or > and solid for inequalities with � or �- ( ) Step 2 -'f�st а point (� у) inside the parabola to determine whether the point is а solution of the inequality. Sl1ad J1e region inside the parabola if the point from Step 2 is а solution. Shade the region outside the parabola if it is not а solution. ' J i i. f�7- f3x --2- о о L (} �-z F,.. \'.-� f- с, - 2. - \ f01 л+' Extra Practice 'JМ, � �t-\�� L 1бs\ ln Exercises 1-4, match the graph with its ineq uality. Explain your reasoning. 1. 4. у � х 2 + 2х - 8 д. о ( О� 0-� - (i!-�� • с. у С) (;i х 2 >о в. D� l� + 2х - 8 D. +- о-�· "t<·2. .. ·, t) t о f 8х 2 � ln Exercises 5-8, graph the inequality. \/lf у 2 6. у fиt� + 2х - 8 С2 ( Dft. � 1"' ( 1/'., l,.,. JН, х 2 + 1) .C,�ph o+ V � ()�-у D> -i s.Y у _!:: - х 2 + 2х - 8 о-� .,-, � < -5х 2 >t" {О/1,\ (&; 1 i. I I f } .. - i-- (,. z,.) DecrO (1 ·-� __,__ .--1-¼--1--+·-+--- - �