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 \{ {{x+6 \ if \ x\leq -2} \atop {x^2 \ if \ x>-2}} \right.[/tex]
This function has been plotted above and we know some properties:
- The domain is the set of all real numbers
- The range is [0, ∞)
- The function is the combination of a straight line and a parabola.
- The point at which the line and the parabola meet is (-2,4)
