Tobias Ali

2020-10-23

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

comentezq

Skilled2020-10-24Added 106 answers

Step 1

Piecewise functions are functions which are defined by multiple fuction for different disjoint subdomain.

Example : consider signum function, it has domain$(-\propto ,\propto )$ and is defined as :

$Sgn(x)=\{\begin{array}{l}-1\text{}if\text{}x0\\ 0\text{}if\text{}x=0\\ 1\text{}if\text{}x0\end{array}$

Practical applications in which piecewise function is used :

Example 1 : Taxi fare system - If the distance on the meter is within 1 km than$\mathrm{\$}5$ is taken and for further each kilometer $\mathrm{\$}2$ is taken. This scenario depicts peicewise nature.

Step 2

Example 2 : The scolarship program - If your annual income is less than$\mathrm{\$}10000$ than full scholarship of $\mathrm{\$}1000$ will be given otherwise no scholarship will be given. This scenario also have piecewise nature.

Piecewise functions are functions which are defined by multiple fuction for different disjoint subdomain.

Example : consider signum function, it has domain

Practical applications in which piecewise function is used :

Example 1 : Taxi fare system - If the distance on the meter is within 1 km than

Step 2

Example 2 : The scolarship program - If your annual income is less than