Question
Given
find each required value.
Type answer in the blank. If the answer is no solution/does not exit, type DNE.
A
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
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Mind Expander
To find the required values of the function
, we evaluate it piecewise based on the given conditions.
-
Finding
:
The condition for this case is . Therefore, we use the first piece of the function:So, . -
Finding
:
The condition for indicates we should use the third piece of the function: -
Finding
:
For we look at the condition , and that falls in the second piece: -
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