2x2+x x2 –16 f(x) = { In |a| 2т — 1 if x < -3 if –3 < x < e if x > e . a. List all potential r-values for which f(x) might be discontinuous. b. For each x-value in part (a), very carefully give a supporting argument that uses limits with proper notation to explain whether or not f is continuous at that value. . Find and verify- using limits- the equations of all asymptotes of f. Make your work clear and organized, distinguishing when you are verifying horizontal versus vertical asymptotes.

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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Please use proper notation and give explanations for your work. Thanks

2x2+x
x2 –16
f(x) = { In |a|
2т — 1
if x < -3
if –3 < x < e
if x > e
. a. List all potential r-values for which f(x) might be discontinuous.
b. For each x-value in part (a), very carefully give a supporting argument that uses limits with proper
notation to explain whether or not f is continuous at that value.
. Find and verify- using limits- the equations of all asymptotes of f. Make your work clear and organized,
distinguishing when you are verifying horizontal versus vertical asymptotes.
Transcribed Image Text:2x2+x x2 –16 f(x) = { In |a| 2т — 1 if x < -3 if –3 < x < e if x > e . a. List all potential r-values for which f(x) might be discontinuous. b. For each x-value in part (a), very carefully give a supporting argument that uses limits with proper notation to explain whether or not f is continuous at that value. . Find and verify- using limits- the equations of all asymptotes of f. Make your work clear and organized, distinguishing when you are verifying horizontal versus vertical asymptotes.
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