Question

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

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

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.