x + 3 2x+3 5. (a) Find f(a) for a = -2,-1,0, 1 if f(x) = x + 2 2 4-x for x < -2 for 2 ≤ x < -1 for 1 1 (b) Find lim f(x) and lim f(x) for a = -2,-1,0, 1. If a one-sided limit does not exist, explain why not. x-a- x→a+

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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5. (a) Find f(a) for a = −2,−1, 0, 1 if ƒ(x) =
=
x + 3
for x < -2
2x+3 for 2 ≤ x < −1
x + 2
for -1 < x < 1
2
for x =
for x > 1
4
- X
(b) Find_lim_ f(x) and lim f(x) for a = -2, -1, 0, 1. If a one-sided limit does not exist, explain why not.
x→a-
x→a+
(c) Find lim f(x) for a = : -2,−1, 0, 1. If a limit does not exist, explain why not.
x→a
Transcribed Image Text:5. (a) Find f(a) for a = −2,−1, 0, 1 if ƒ(x) = = x + 3 for x < -2 2x+3 for 2 ≤ x < −1 x + 2 for -1 < x < 1 2 for x = for x > 1 4 - X (b) Find_lim_ f(x) and lim f(x) for a = -2, -1, 0, 1. If a one-sided limit does not exist, explain why not. x→a- x→a+ (c) Find lim f(x) for a = : -2,−1, 0, 1. If a limit does not exist, explain why not. x→a
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