Question

Determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant (a) The function is increasing on the interval(s) (Use a comma to separate answers as needed. Type your answer in interval notation) (b) The function is decreasing on the interval(s) (Use a comma to separate answers as needed. Type your answer in interval notation.) (c) The function is constant on the interval(s) (Use a comma to separate answers as needed. Type your answer in interval notation)

          Determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant
(a) The function is increasing on the interval(s) 
(Use a comma to separate answers as needed. Type your answer in interval notation)
(b) The function is decreasing on the interval(s) 
(Use a comma to separate answers as needed. Type your answer in interval notation.)
(c) The function is constant on the interval(s) 
(Use a comma to separate answers as needed. Type your answer in interval notation)
        
Show more…
Determine the intervals on which the function is (a) increasing; (b) decreasing; (c) constant
(a) The function is increasing on the interval(s) 
(Use a comma to separate answers as needed. Type your answer in interval notation)
(b) The function is decreasing on the interval(s) 
(Use a comma to separate answers as needed. Type your answer in interval notation.)
(c) The function is constant on the interval(s) 
(Use a comma to separate answers as needed. Type your answer in interval notation)

Added by Tim T.

Close

Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
The function is constant on the interval (-∞, ∞). The function is increasing on the interval (-∞, ∞). The function is constant on the interval (-∞, ∞). The function is increasing on the interval (-∞, ∞). The function is decreasing on the interval (-∞, ∞). The function is constant on the interval (-∞, ∞).
Close icon
Play audio
Feedback
Powered by NumerAI
Danielle Fairburn Kathleen Carty
David Collins verified

Nandini Singh and 50 other subject Algebra educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
the-function-fxfracx-1x-1-is-continuous-on-infty-infty

The function $f(x)=\frac{|x-1|}{x-1}$ is continuous on $(-\infty, \infty)$

Calculus of a Single Variable

Limits and Their Properties

Continuity and One-Sided Limits

consider-the-function-in-the-graph-to-the-right-2-points-each-part-the-function-has-maximum-of-the-function-has-minimum-of-note-the-left-end-goes-to-infinity-and-the-right-end-goes-to-infini-35119

Consider the function in the graph to the right. (2 points each part) The function has a maximum of at x = The function has a minimum of at x = NOTE: The left end goes to -infinity (x → -∑) and the right end goes to infinity (x → ∑). The function is increasing on the interval(s): The function is decreasing on the interval(s):

James K.

the-exponential-function-fxex-is-increasing-on-the-interval-infty-infty

The exponential function $f(x)=e^{x}$ is increasing on the interval $(-\infty, \infty)$.

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry

Preview of Calculus: The Limit, Derivative, and Integral

One-sided Limits; Continuous Functions


*

Recommended Textbooks

-
Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition
achievement 1,922 solutions
Elementary and Intermediate Algebra

Elementary and Intermediate Algebra

Marvin L. Bittinger, David J. Ellenbogen,Barbara L. Johnson 4th Edition
achievement 1,459 solutions
Algebra and Trigonometry

Algebra and Trigonometry

James Stewart, Lothar Redlin, Saleem Watson 4th Edition
achievement 1,423 solutions

*

Transcript

-
00:01 Number 110 would like us to figure out whether this statement is true or false.
00:10 The function f of x equals absolute value of x minus 1 over x minus 1 is continuous on negative infinity, comma infinity, which is all real numbers.
00:20 So the first thing we can do is solve and simplify this absolute value function.
00:30 So we can split it into two parts, the positive side, where for x is greater than equal to one, and the negative side.
00:47 Put a negative sign there for x is less than one...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever