Sketch the graph of a function, f(x), that has each of the following properties: • Domain: x € [-2,1) U (1,7) U (7,00) • Range: y € (-00, 10] lim f(x) = -3 X-00 lim f(x)=-co and lim f(x) = 0 X-1 lim f(x)=5 lim f(x) does not exist The maximum output of f(x) occurs when x = 3 9 8 7 6 5 4 3 1 -10-9-8-7 -6 -5 -4 -3 -2 -10 2 22 -4- --5 -6- -7 -8 --9- -10 1 2 3 4 5 6 7 8 9 10

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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Sketch the graph of a function, f(x), that has each of the following properties:
• Domain: x € [-2, 1) U (1,7) U (7,00)
• Range: y € (-00, 10]
lim f(x) = -3
X-00
lim f(x) = -co and lim f(x) = 0
.
lim f(x) = 5
X→-2+
lim f(x) does not exist
X-9
The maximum output of f(x) occurs when x = 3
-10-
9
8
7
6
5
4
3
2
-1-
-10-9-8-7 -6 -5 -4 -3 -2 -1 0
-1
-2
-3
-4
--5-
--6-
-7-
-8
-9-
-10-
2 3 4 5 6 7 8 9 10
Transcribed Image Text:Sketch the graph of a function, f(x), that has each of the following properties: • Domain: x € [-2, 1) U (1,7) U (7,00) • Range: y € (-00, 10] lim f(x) = -3 X-00 lim f(x) = -co and lim f(x) = 0 . lim f(x) = 5 X→-2+ lim f(x) does not exist X-9 The maximum output of f(x) occurs when x = 3 -10- 9 8 7 6 5 4 3 2 -1- -10-9-8-7 -6 -5 -4 -3 -2 -1 0 -1 -2 -3 -4 --5- --6- -7- -8 -9- -10- 2 3 4 5 6 7 8 9 10
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