Question

Graph each piecewise function. Then Identify the properties.

Answer 1

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:

`\left \{ {{3x^2+6x+4 \ if \ x \leq 0} \atop {-2x+4 \ if \ x>0}} \right.`

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

• The domain is the set of all real numbers

• The range is (-∞, ∞)

• 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)