Question
upstudy study bank question image url

Over what interval is the graph of the function decreasing?

Ask by Hamilton Beck. in the United States
Mar 15,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

To find where the function is decreasing, look for intervals where the derivative is negative.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

To determine where a function is decreasing, you'll want to find its critical points by setting the derivative equal to zero or identifying where it's undefined. Once you locate these points, you can test intervals around them using a sign chart. If the derivative is negative on an interval, then the function is decreasing there. Remember, visualizing the graph can help a lot—sometimes, the declining slope can reveal more than just numbers on paper! For practical purposes, if you have a specific function, you can also plug in values from different intervals into the derivative to confirm your findings. Common mistakes include forgetting to check endpoints or misinterpreting signs. Always double-check your calculations to ensure you haven’t missed any potential intervals where the graph could be decreasing!

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy