Let if x<1 3 g(x) = if x= 1 2 - x if 1 2 (a) Evaluate each of the following limits, if it exists. (i) lim g(x) (iv) lim g(x) (ii) lim g(x) (iii) g(1) (v) lim g(x) -2+ (vi) lim g(x) I-2- (b) Sketch the graph of g.

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...
icon
Related questions
Question
Let
if x<1
3
g(x) =
if x= 1
2 - x if 1<x 2
x – 3 if x> 2
(a) Evaluate each of the following limits, if it exists.
(i) lim g(x)
(iv) lim g(x)
(ii) lim g(x)
(iii) g(1)
(v) lim g(x)
-2+
(vi) lim g(x)
I-2-
(b) Sketch the graph of g.
Transcribed Image Text:Let if x<1 3 g(x) = if x= 1 2 - x if 1<x 2 x – 3 if x> 2 (a) Evaluate each of the following limits, if it exists. (i) lim g(x) (iv) lim g(x) (ii) lim g(x) (iii) g(1) (v) lim g(x) -2+ (vi) lim g(x) I-2- (b) Sketch the graph of g.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 6 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning