Graph root and piecewise functions

What you'll learn

1. Graph the parent functions y = √x and y = ∛x, identifying domain, range, intercept, and end behavior for each
2. Graph transformed square root and cube root functions using strategic points and knowledge of the parent shape
3. Graph piecewise-defined functions by graphing each piece on its specified interval, using open and closed dots to indicate included/excluded endpoints
4. Graph step functions (greatest integer / floor function) and recognize the characteristic staircase pattern
5. Graph absolute value functions from the algebraic definition as a piecewise function and from the V-shape pattern
6. Determine domain, range, and continuity for piecewise-defined functions by analyzing each piece and the transition points

Prerequisites

• Graph linear and quadratic functions