### Home > APCALC > Chapter 1 > Lesson 1.4.4 > Problem1-185

1-185.

Rewrite $f(x)=|x^2-4|+1$ as a piecewise-defined function. State the domain and range of $f$ using interval notation.

Notice that there are three pieces and two boundary points.

All three pieces are parabolas and, consequently, transformations of $y=x^2$.In fact, the outer pieces are parts of the same parabola. The graph will help you find the equation of each piece.

Use the eTool below to explore.
Click the link at right for the full version of the eTool: Calc 1-185 HW eTool