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Tutorial Exercise Use the given graph of the function y = f(x) to find the following quantities, if they exist. y 6- 4 3 1 -6 -5 -4 -3 -2 -1 1 2 (a) lim f(x) x--4 (b) lim f(x) x--1 (c) lim f(x) x--1+ (d) lim f(x) x--1 (e) f(-1) Step 1 of 3 2.

Tutorial Exercise Use the given graph of the function y = f(x) to find the following quantities, if they exist. y 6- 4 3 1 -6 -5 -4 -3 -2 -1 1 2 (a) lim f(x) x--4 (b) lim f(x) x--1 (c) lim f(x) x--1+ (d) lim f(x) x--1 (e) f(-1) Step 1 of 3 2.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter2: Functions And Their Graphs
Section2.4: A Library Of Parent Functions
Problem 47E: During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate...
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Tutorial Exercise Use the given graph of the function y = f(x) to find the following quantities, if they exist. y 3 1 -6 -5 -4 -3 -2 -1 1 (a) lim f(x) X-4 (b) lim f(x) X-1- (c) x--1+ lim f(x) (d) lim f(x) x--1 (e) f(-1) Step 1 of 3 (a) lim f(x) X→-4 Recall lim f(x) exists if and only if lim f(x) = lim f(x). a+ Xa Xa Also recall lim f(x) = L if the values of f(x) can be made arbitrarily close to L by taking x sufficiently close to a for Xa x < a. Similarly, lim f(x) = L if the values of f(x) can be made arbitrarily close to L by taking x sufficiently close to a x→a+ for x > a. Using the graph, find the values (if they exist) of lim f(x) and lim f(x). (If a limit does not exist, enter DNE.) X→-4+ X-4- lim f(x) = X→-4- lim f(x) = X→-4+ O, lim f(x) ---Select--- X--4 O and its value is as follows. (If the limit does not Since these limits -Select--- exist, enter DNE.) lim f(x) = X-4
Transcribed Image Text:Tutorial Exercise Use the given graph of the function y = f(x) to find the following quantities, if they exist. y 3 1 -6 -5 -4 -3 -2 -1 1 (a) lim f(x) X-4 (b) lim f(x) X-1- (c) x--1+ lim f(x) (d) lim f(x) x--1 (e) f(-1) Step 1 of 3 (a) lim f(x) X→-4 Recall lim f(x) exists if and only if lim f(x) = lim f(x). a+ Xa Xa Also recall lim f(x) = L if the values of f(x) can be made arbitrarily close to L by taking x sufficiently close to a for Xa x < a. Similarly, lim f(x) = L if the values of f(x) can be made arbitrarily close to L by taking x sufficiently close to a x→a+ for x > a. Using the graph, find the values (if they exist) of lim f(x) and lim f(x). (If a limit does not exist, enter DNE.) X→-4+ X-4- lim f(x) = X→-4- lim f(x) = X→-4+ O, lim f(x) ---Select--- X--4 O and its value is as follows. (If the limit does not Since these limits -Select--- exist, enter DNE.) lim f(x) = X-4
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