Question

Could someone give me an example of a Piece wise Defined Functions.

Answer 1

Sometimes an equation can’t be described by a single equation, and instead
we have to describe it using a combination of equations. Such functions are
called piecewise defined functions, and probably the easiest way to describe
them is to look at a couple of examples.
First example. The function g : R → R is defined by
g(x) = x2 −1 if x ∈ (−∞,0];
x−1 if x ∈ [0,4];
3 if x ∈ [4,∞).

Answer 2

The function g is a piecewise defined function. It is defined using three
functions that we’re more comfortable with: x2 −1, x−1, and the constant
function 3. Each of these three functions is paired with an interval that
appears on the right side of the same line as the function: (−∞,0], and [0,4],
and [4,∞) respectively.
hope this helps !!!

Answer 3

this isn't exactly to scale but this will give you a visual of what one will look like