Absolute Value Function

Absolute value functions become piecewise functions by following these steps:

1. Make the function equal to zero, without the absolute value and calculate their roots.

2. Form intervals with the roots and evaluate the sign of each interval.

3. Define the piecewise function, taking into account that the sign needs to be changed in the intervals where x is negative.

4 Graph the resulting function.

Absolute Value Function

Function Roots

Intervals

Absolute Value Function

graph Absolute Value Function

D= Any Real Number


Absolute Value Function

Function Roots

Intervals

Piecewise Function

Gráph Absolute Value Function

D= Any Real Number