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
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0acc8f87-a6a6-4456-9d87-d265da1f7118%2F3c273d5e-9e08-4d3f-8c25-a309cfec3649%2Fb8akeiq_processed.jpeg&w=3840&q=75)
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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