Question

Looking around in your own country, discuss two practical applications in which “piecewise functions” are used either explicitly or implicitly.

Piecewise-Defined Functions
ANSWERED
asked 2020-10-23
Looking around in your own country, discuss two practical applications in which “piecewise functions” are used either explicitly or implicitly.

Answers (1)

2020-10-24
Step 1
Piecewise functions are functions which are defined by multiple fuction for different disjoint subdomain.
Example : consider signum function, it has domain \(\left(−\propto,\propto\right)\) and is defined as :
\(Sgn(x)=\begin{cases}-1\ if\ x<0\\0\ if\ x=0\\1\ if\ x>0 \end{cases}\)
Practical applications in which piecewise function is used :
Example 1 : Taxi fare system - If the distance on the meter is within 1 km than \(\$5\) is taken and for further each kilometer \(\$2\) is taken. This scenario depicts peicewise nature.
Step 2
Example 2 : The scolarship program - If your annual income is less than \(\$10000\) than full scholarship of \(\$1000\) will be given otherwise no scholarship will be given. This scenario also have piecewise nature.
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