On the axes below, sketch the graph of a function f(x) that satisfies all of the following properties. Note: Make sure to read these properties carefully! the domain of f(x) is [-10, 7) U (7, 10] lim f(x) exists but f is discontinuous at x = -8 811 lim f(x) = f(-5) but lim_ f(x) does not exist I--5+ 911H lim f(x) = 4 and f is continuous at x = 2 x-2 • the line x = 5 is a vertical asymptote for f (Note: x = 5 is in the domain of f.) • lim f(x) = +∞o (Note: x = 7 is not in the domain of f.) x-7
On the axes below, sketch the graph of a function f(x) that satisfies all of the following properties. Note: Make sure to read these properties carefully! the domain of f(x) is [-10, 7) U (7, 10] lim f(x) exists but f is discontinuous at x = -8 811 lim f(x) = f(-5) but lim_ f(x) does not exist I--5+ 911H lim f(x) = 4 and f is continuous at x = 2 x-2 • the line x = 5 is a vertical asymptote for f (Note: x = 5 is in the domain of f.) • lim f(x) = +∞o (Note: x = 7 is not in the domain of f.) x-7
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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![On the axes below, sketch the graph of a function f(x) that satisfies all of the following properties.
Note: Make sure to read these properties carefully!
the domain of f(x) is [-10, 7) U (7, 10]
lim f(x) exists but f is discontinuous at x = -8
811
lim f(x) = f(-5) but lim_ f(x) does not exist
I--5+
911H
lim f(x) = 4 and f is continuous at x = 2
x-2
• the line x = 5 is a vertical asymptote for f (Note: x = 5 is in the domain of f.)
• lim f(x) = +∞o (Note: x = 7 is not in the domain of f.)
x-7](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F60e5fca3-b9c2-47c4-9eba-5478d8641133%2F31d29b70-e79e-4dba-9515-d817781d8462%2F70fwh_processed.png&w=3840&q=75)
Transcribed Image Text:On the axes below, sketch the graph of a function f(x) that satisfies all of the following properties.
Note: Make sure to read these properties carefully!
the domain of f(x) is [-10, 7) U (7, 10]
lim f(x) exists but f is discontinuous at x = -8
811
lim f(x) = f(-5) but lim_ f(x) does not exist
I--5+
911H
lim f(x) = 4 and f is continuous at x = 2
x-2
• the line x = 5 is a vertical asymptote for f (Note: x = 5 is in the domain of f.)
• lim f(x) = +∞o (Note: x = 7 is not in the domain of f.)
x-7
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