Graph each piecewise function. then identify the properties.

Shown below

A piecewise-defined function is a function defined by two or more equations over a specified domain. From the figure, our piecewise function is:

This function has been plotted below and we know some properties:

is the parabola in purple while is the parabola in orange.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.