Radical Functions: Introduction

Warm-Up Icon Unit Warm-Up

Before we begin working on this unit, please go through the following warm-up. This warm-up is intended to get you thinking about radical functions and their properties.

Analyze the following graph.

Graph of radical function beginning at the point (negative 2, negative 1) and continuing through points (negative 1, zero), (2, 1) and beyond.
Graph of radical function

Answer the following questions about this function. Keep your answers in your notes. When you have finished the unit, go back and look through your notes. Make changes where necessary.

  1. What is the domain of the function?
  2. What is the range of the function?
  3. Describe what the parent function might look like?
  4. Describe any transformations that you see?
  5. What is the value of the function at x = 2?
  6. Where is the function undefined?