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Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x<-1 ax² -1, x>-1 a) Does lim f(x) exist if a = 2? Explain x→→1 how you know or show your work. b) Determine what value of a would make the function continuous.

Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x<-1 ax² -1, x>-1 a) Does lim f(x) exist if a = 2? Explain x→→1 how you know or show your work. b) Determine what value of a would make the function continuous.

Calculus: Early Transcendentals
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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Answer all questions given in level 4.
h(x) x² - 7x + 10 x-5 a x #5 x=5 8. Let for some constant a. If h is continuous for all real numbers, find the value of a.
Transcribed Image Text:h(x) x² - 7x + 10 x-5 a x #5 x=5 8. Let for some constant a. If h is continuous for all real numbers, find the value of a.
Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x<-1 ax²-1, x>-1 a) Does lim f(x) exist if a = 2? Explain x→→1 how you know or show your work. b) Determine what value of a would make the function continuous.
Transcribed Image Text:Level 4: 7. Given the piecewise function f(x), answer the following questions: f(x)= 4-x², x<-1 ax²-1, x>-1 a) Does lim f(x) exist if a = 2? Explain x→→1 how you know or show your work. b) Determine what value of a would make the function continuous.
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