3. Sketch the graphs of the piecewise defined functions f and g and use the graphs to determine the limits. f(x) = { 2 x² x<-2 -2≤x≤1 3 x²+1 g(x): = x-1 1 < x <3 x-5 x<-2 -2≤x≤1 1 < x <3 a) lim f(x) b) lim f(x) x-2 x-2+ c) lim g(x) d) lim g(x) X--2- x→-2+ e) lim f(x) f) X--2 lim g(x) g) lim [f(x)+g(x)] x-2- h) lim [f(x)+ g(x)] x-2+ i) lim [f(x) + g(x)] j) k) X--2 lim [f(x) g(x)] x-2 1) lim[f(x) g(x)] x-1 lim[f(x) + g(x)]
3. Sketch the graphs of the piecewise defined functions f and g and use the graphs to determine the limits. f(x) = { 2 x² x<-2 -2≤x≤1 3 x²+1 g(x): = x-1 1 < x <3 x-5 x<-2 -2≤x≤1 1 < x <3 a) lim f(x) b) lim f(x) x-2 x-2+ c) lim g(x) d) lim g(x) X--2- x→-2+ e) lim f(x) f) X--2 lim g(x) g) lim [f(x)+g(x)] x-2- h) lim [f(x)+ g(x)] x-2+ i) lim [f(x) + g(x)] j) k) X--2 lim [f(x) g(x)] x-2 1) lim[f(x) g(x)] x-1 lim[f(x) + g(x)]
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...
Related questions
Question
plssssss help, I only need help with sketching the graphs. I can answer the questions on my own. Thank u!
![3.
Sketch the graphs of the piecewise defined functions f and g and use the graphs to
determine the limits.
f(x) =
{
2
x²
x<-2
-2≤x≤1
3
x²+1
g(x):
= x-1
1 < x <3
x-5
x<-2
-2≤x≤1
1 < x <3
a)
lim f(x)
b)
lim f(x)
x-2
x-2+
c)
lim g(x)
d)
lim g(x)
X--2-
x→-2+
e)
lim f(x)
f)
X--2
lim g(x)
g)
lim [f(x)+g(x)]
x-2-
h) lim [f(x)+ g(x)]
x-2+
i)
lim [f(x) + g(x)]
j)
k)
X--2
lim [f(x) g(x)]
x-2
1) lim[f(x) g(x)]
x-1
lim[f(x) + g(x)]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd7a335f8-147e-41db-9e19-40b137c031ef%2Fb184a038-4189-44c0-8213-d4e35885b99d%2Fvgzusc2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3.
Sketch the graphs of the piecewise defined functions f and g and use the graphs to
determine the limits.
f(x) =
{
2
x²
x<-2
-2≤x≤1
3
x²+1
g(x):
= x-1
1 < x <3
x-5
x<-2
-2≤x≤1
1 < x <3
a)
lim f(x)
b)
lim f(x)
x-2
x-2+
c)
lim g(x)
d)
lim g(x)
X--2-
x→-2+
e)
lim f(x)
f)
X--2
lim g(x)
g)
lim [f(x)+g(x)]
x-2-
h) lim [f(x)+ g(x)]
x-2+
i)
lim [f(x) + g(x)]
j)
k)
X--2
lim [f(x) g(x)]
x-2
1) lim[f(x) g(x)]
x-1
lim[f(x) + g(x)]
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