a. g(3) = = b. lim g(z) C. lim g(z) d. lim g(z) = Z-1 = -4 -3 -2 -1 10 6 2 0 -2 -4 -6 9(z) 2 3 5 6

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
1. The graph of a function, g(z), is shown below. Use the graph to answer each of the
following, whenever possible.
If a limit fails to exist indicate so by writing "DNE" and explain why the limit does not
exist.
(1 pt. each)
Tg(z)
-4
-3
-2
a. g(3)
b. lim g(z)
0
6
-2
c. lim g(z)
-6
d. lim g(z)
z→1
2. Find each limit analytically, provided it exists. You must show appropriate work and use
correct notation to receive full credit. (3 pts. each)
x²+x+6
a. lim
x+3 5x²+15x
10
-1
8
6
2
2
3
Transcribed Image Text:1. The graph of a function, g(z), is shown below. Use the graph to answer each of the following, whenever possible. If a limit fails to exist indicate so by writing "DNE" and explain why the limit does not exist. (1 pt. each) Tg(z) -4 -3 -2 a. g(3) b. lim g(z) 0 6 -2 c. lim g(z) -6 d. lim g(z) z→1 2. Find each limit analytically, provided it exists. You must show appropriate work and use correct notation to receive full credit. (3 pts. each) x²+x+6 a. lim x+3 5x²+15x 10 -1 8 6 2 2 3
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