Question

Graph each piecewise function. Then Identify the properties.

Answer 1

Shown below

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:

`\left \{ {{x+6 \ if \ x\leq -2} \atop {x^2 \ if \ x>-2}} \right.`

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)