Help with Piecewise function, i had a bronchitis

In summary, the conversation involves a student seeking help with two problems for an upcoming quiz, one involving a piecewise function and the other involving finding the area of a rectangle with a given perimeter. The conversation also includes a brief explanation of absolute value and its effects on different intervals.
  • #1
ThePook
1
0

Homework Statement


I had a bronchitis the past week, and I have no idea what to do with this problem, my teacher gave us two problems out of 28 from the upcoming quiz, and this is one of the two.

What the following absolute value using a piecewise function?
y=|x+5|+2


Express the area of a rectangle with a perimeter of 100 with 1 size as length is x.



Any help would be appreciate!
 
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  • #2
Presumably you textbook defines "piecewise". That is a function that is defined by a specific formula on one interval and then another formula on second formula.

Also you should know that |x|= x if x>= 0 and |x|= -x if x< 0. In particular, |x+5|= x+ 5 if x+6>=0 and |x+5|= -(x+5) if x< 0.

Okay, for what values of x is x+5>=0? What is |x+5|+ 2 there? For what values of x is x+5> 0? What is |x+5|+ 2 there?
 
  • #3
HallsofIvy said:
Also you should know that |x|= x if x>= 0 and |x|= -x if x< 0. In particular, |x+5|= x+ 5 if x+6>=0 and |x+5|= -(x+5) if x< 0.

Dont you mean |x+5|=x+5 if x+5>=0 and |x+5|=-(x+5) if x<-5.
 
  • #4
Yes, of course, thank you. The 6 is too close to the 5 on a keyboard!
 

FAQ: Help with Piecewise function, i had a bronchitis

How can piecewise functions help with bronchitis?

Piecewise functions can be used to model and analyze data related to bronchitis, such as the progression of symptoms over time or the effectiveness of different treatments. They can also be used to make predictions about the future course of the illness.

What is a piecewise function?

A piecewise function is a mathematical function that is defined by different formulas or rules for different parts of its domain. It is often used to describe situations where the relationship between two variables changes at a certain point.

How is bronchitis typically treated?

Bronchitis is often treated with a combination of rest, fluids, and over-the-counter or prescription medications to relieve symptoms. For more severe cases, antibiotics may be prescribed. In some cases, breathing treatments or oxygen therapy may also be recommended.

How can piecewise functions be used to analyze bronchitis treatments?

Piecewise functions can be used to compare the effectiveness of different treatments for bronchitis. For example, a piecewise function could be used to model the change in symptoms over time for a patient who is receiving a certain medication versus a patient who is not receiving any medication. This can help healthcare professionals make more informed treatment decisions.

Can piecewise functions be used to diagnose bronchitis?

Piecewise functions alone cannot be used to diagnose bronchitis. However, they can be used as part of a larger analysis of symptoms and other data to help make a diagnosis. It is always important to consult with a healthcare professional for an accurate diagnosis and treatment plan.

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