Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
Expert Solution
Step 1
Given,
(x-2)(x+4)<0
Step 2
let
f(x) =(x-2)(x+4)
and
f(x)<0
Taking f(x)=0, to find the intercpets on x axis
(x-2)(x+4)=0
x= 2
x= -4
The x-intercpet of f(x) are -4 and 2
Step 3
The boundary points can be divided as
| Interval | Test value x | f(x)=(x+4)(x-2) | conclusion |
| -5 | 7 | ||
| 0 | -8 | f(x)<0 | |
| 3 | 7 | f(x)>0 |
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