Answer:
Shown below
Step-by-step explanation:
A piecewise-defined function is a function defined by two or more equations over a specified domain. From the figure, our piecewise function is:
[tex]\left \{ {{3x^2+6x+4 \ if \ x \leq 0} \atop {-2x+4 \ if \ x>0}} \right.[/tex]
This function has been plotted below and we know some properties:
- The domain is the set of all real numbers
- The function is the combination of a straight line and a parabola.
- The point at which the line and the parabola meet is (0,4)
