1. Sketch a possible graph of a function f, together with vertical asymptotes, sat- isfying all the following conditions on (0,4). f(1) = 0 lim, 42 f(1) = 00 lim,4- f(r) = 0 f(3) is undefined lim, +3 f(1) = 1 lim, 40+ f(r) = -o (1-2 1+1 2. (a) Graph f(r) = 12 I= 1 (b) Find lim,-1+ f(x) and lim,→1- f(r). (c) Does lim,+1 f(1) exist? If so, what is it? If not, why not?

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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1. Sketch a possible graph of a function f, together with vertical asymptotes, sat-
isfying all the following conditions on (0,4).
f(1) = 0
lim, 42 f(1) = 00 lim,4- f(r) = 0
f(3) is undefined lim, +3 f(1) = 1 lim, 40+ f(r) = -o
(1-2 1+1
2. (a) Graph f(r) =
12
I= 1
(b) Find lim,-1+ f(x) and lim,→1- f(r).
(c) Does lim,+1 f(1) exist? If so, what is it? If not, why not?
Transcribed Image Text:1. Sketch a possible graph of a function f, together with vertical asymptotes, sat- isfying all the following conditions on (0,4). f(1) = 0 lim, 42 f(1) = 00 lim,4- f(r) = 0 f(3) is undefined lim, +3 f(1) = 1 lim, 40+ f(r) = -o (1-2 1+1 2. (a) Graph f(r) = 12 I= 1 (b) Find lim,-1+ f(x) and lim,→1- f(r). (c) Does lim,+1 f(1) exist? If so, what is it? If not, why not?
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