G1. With paper and pencil, sketch the graph of a function y = f (x) with the following properties: domain: (-∞, -3) U(-3,-1) U(-1,00); f'(x) >0 for - 13, f'(x) <0 for x<-3 or -30 for -32, f"(x) <0 for x<-3 or -2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 3E
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G1. With paper and pencil, sketch the graph of a function y = f (x) with the following properties:
domain: (-∞, -3) U(-3,-1)U(-1,0);
f'(x) >0 for - 1<x< 1 or x>3,
f'(x) <0 for x<-3 or -3<x< -1 or 1<x<3,
f"(x) >0 for -3<x< -2 or x>2,
f"(x) <0 for x<-3 or -2<x< -1 or -1<x<2,
lim f(x) = -∞, lim f(x) = ∞,
lim f(x) = -∞,
x--3-
X→ −3+
→ -1
lim f(x)=3, f(-2)= 1, f(1) = 4.
8118
Transcribed Image Text:G1. With paper and pencil, sketch the graph of a function y = f (x) with the following properties: domain: (-∞, -3) U(-3,-1)U(-1,0); f'(x) >0 for - 1<x< 1 or x>3, f'(x) <0 for x<-3 or -3<x< -1 or 1<x<3, f"(x) >0 for -3<x< -2 or x>2, f"(x) <0 for x<-3 or -2<x< -1 or -1<x<2, lim f(x) = -∞, lim f(x) = ∞, lim f(x) = -∞, x--3- X→ −3+ → -1 lim f(x)=3, f(-2)= 1, f(1) = 4. 8118
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