Explain why the function is discontinuous at the given number a. (Select all that apply.) F(x) = if x # 4 if x = 4 ● lim f(x) and lim f(x) are finite, but are not equal, X-4+ X-4 16 ● lim f(x) does not exist. X-4 of (4) is defined and lim f(x) is finite, but they are not equal. X-4 f(4) is undefined. Onone of the above a = 4 Sketch the graph of the function. औ 34 4 -4 4

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
Academic Calen
Explain why the function is discontinuous at the given number a. (Select all that apply.)
x² - 4x
f(x)=x²-16
1
if x # 4
if x = 4
lim f(x) and lim f(x) are finite, but are not equal.
X-4-
Olim f(x) does not exist.
x-4
My Print Center
a = 4
Of(4) is undefined.
Onone of the above
Of(4) is defined and lim f(x) is finite, but they are not equal.
X-4
-1
Ways to Receive Yo...
Sketch the graph of the function.
# 11
4
-4
-1
-11
X
EGJ EG1004 Homepage EG EG1004 Manual
-1
IIEE
ExpertChat | Math...
4
11°F
Transcribed Image Text:Academic Calen Explain why the function is discontinuous at the given number a. (Select all that apply.) x² - 4x f(x)=x²-16 1 if x # 4 if x = 4 lim f(x) and lim f(x) are finite, but are not equal. X-4- Olim f(x) does not exist. x-4 My Print Center a = 4 Of(4) is undefined. Onone of the above Of(4) is defined and lim f(x) is finite, but they are not equal. X-4 -1 Ways to Receive Yo... Sketch the graph of the function. # 11 4 -4 -1 -11 X EGJ EG1004 Homepage EG EG1004 Manual -1 IIEE ExpertChat | Math... 4 11°F
Expert Solution
Step 1

We have to find the limit and graph the function.

steps

Step by step

Solved in 3 steps with 2 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