Lesson Plan: The Domain and the Range of a Radical Function | Nagwa Lesson Plan: The Domain and the Range of a Radical Function | Nagwa

Lesson Plan: The Domain and the Range of a Radical Function Mathematics

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the domain and the range of a radical function either from its graph or from its defining rule.

Objectives

Students will be able to

  • understand that, where 𝑛 is a positive integer 𝑎 and 𝑏 are real constants, the radical function of the form 𝑓(𝑥)=(𝑎𝑥+𝑏)() is defined when
    • (𝑎𝑥+𝑏)0; if 𝑛 is an even,
    • (𝑎𝑥+𝑏) takes any real value; if 𝑛 is odd,
  • find the domain and range of a radical function from its graph,
  • find the domain and range of a radical function from its function rule.

Prerequisites

Students should already be familiar with

  • the domain and range of polynomial functions,
  • cube roots and square roots.

Exclusions

Students will not cover

  • hyperbolas,
  • 𝑛th roots where 𝑛>3.

Download the Nagwa Classes App

Attend sessions, chat with your teacher and class, and access class-specific questions. Download Nagwa Classes app today!

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.