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...
icon
Related questions
Question
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
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning