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9. a. Sketch the graph of the following function: x + 1, if x < -1 f(x) = -x + 1, if −1≤x< 1 x-2, ifx>1 b. Find all values at which the function is discontinuous. c. Find the limits at those values, if they exist.

9. a. Sketch the graph of the following function: x + 1, if x < -1 f(x) = -x + 1, if −1≤x< 1 x-2, ifx>1 b. Find all values at which the function is discontinuous. c. Find the limits at those values, if they exist.

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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#9 and #10 please

a. lim ƒ(x) = 0.5, ƒ is discontinuous at x = − b. ƒ(x) = −4 if x < 3, ƒ is an increasing function when x > 3, lim f(x) = 1 9. a. Sketch the graph of the following function: x + 1, if x < -1 f(x) x+l.ff-l<x<] x − 2, ifx>I b. Find all values at which the function is discontinuous c. Find the limits at those values, if they exist. 2.r 10. Determine whether f(x) is continuous at r 4 11. Consider the function f(x) = ₂ − a. For what values of x is f discontinuous." b. At each point where fis discontinuous, determine the limit of f(x), if it exists. CHAPTER 1
Transcribed Image Text:a. lim ƒ(x) = 0.5, ƒ is discontinuous at x = − b. ƒ(x) = −4 if x < 3, ƒ is an increasing function when x > 3, lim f(x) = 1 9. a. Sketch the graph of the following function: x + 1, if x < -1 f(x) x+l.ff-l<x<] x − 2, ifx>I b. Find all values at which the function is discontinuous c. Find the limits at those values, if they exist. 2.r 10. Determine whether f(x) is continuous at r 4 11. Consider the function f(x) = ₂ − a. For what values of x is f discontinuous." b. At each point where fis discontinuous, determine the limit of f(x), if it exists. CHAPTER 1
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