F(X) = X + 5 / SQUARE ROOT OF X 1. Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) 2. Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)   3. If the function has any discontinuities, identify the conditions of continuity that are not satisfied. (Select all that apply. Select each choice if it is met for any of the discontinuities.)

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
100%

F(X) = X + 5 / SQUARE ROOT OF X

1. Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.)

2. Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
 
3. If the function has any discontinuities, identify the conditions of continuity that are not satisfied. (Select all that apply. Select each choice if it is met for any of the discontinuities.)
 

 

Consider the following. See Examples 1, 2, 3, 4, and 5.
x + 5
f(x) =
y
9
8
6
5
4
3
1
1
2
4
6
7
8
Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.)
Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
x =
If the function has any discontinuities, identify the conditions of continuity that are not satisfied. (Select all that apply. Select each choice if it is met for any of the discontinuities.)
There is a discontinuity at x = c where f(c) is not defined.
There is a discontinuity at x = c where lim f(x) + f(c).
There is a discontinuity at x = c where lim f(x) does not exist.
There are no discontinuities; f(x) is continuous.
Transcribed Image Text:Consider the following. See Examples 1, 2, 3, 4, and 5. x + 5 f(x) = y 9 8 6 5 4 3 1 1 2 4 6 7 8 Describe the interval(s) on which the function is continuous. (Enter your answer using interval notation.) Identify any discontinuities. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) x = If the function has any discontinuities, identify the conditions of continuity that are not satisfied. (Select all that apply. Select each choice if it is met for any of the discontinuities.) There is a discontinuity at x = c where f(c) is not defined. There is a discontinuity at x = c where lim f(x) + f(c). There is a discontinuity at x = c where lim f(x) does not exist. There are no discontinuities; f(x) is continuous.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Limits and Continuity
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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