Question
upstudy study bank question image url

Given
find each required value.
Type answer in the blank. If the answer is no solution/does not exit, type DNE.






A

Ask by Schwartz Fowler. in the United States
Jan 30,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

, , ,

Solution

Let’s evaluate the given piecewise function at the specified points.
The function is defined as:

1.

Since falls into the first case ( ):
Answer:

2.

At , we need to determine which case applies:
  • is not less than 3 ( ) and not greater than 3 ( ).
  • Therefore, does not fall into any of the defined cases.
Answer: (Does Not Exist)

3.

Since falls into the second case ( ):
Answer:

4.

Since falls into the first case ( ):
Answer:

Summary of Answers:

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

Mind Expander

To find the required values of the function , we evaluate it piecewise based on the given conditions.
  1. Finding :
    The condition for this case is . Therefore, we use the first piece of the function:
    So, .
  2. Finding :
    The condition for indicates we should use the third piece of the function:
  3. Finding :
    For we look at the condition , and that falls in the second piece:
  4. Finding :
    Here, since , we again use the first piece:
Putting this all together, the results are:



Here are the answers in the blanks:
4
DNE
-3
-2

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