Graphing Square Root and Cube Root Functions Chapter 6-5 Dr. Guram Algebra II

Focus Questions How do we graph square root and cube root functions? How do we utilize this in the real world?

Curriculum standards TN 3103.3.10, 3103.3.2, 3103.3.4, 3103.3.11, 3103.3.5 (Associated Tennessee Learning Expectations) Identify and/or graph a variety of functions and their transformations. Sources: http://www.corestandards.org/Math/Content/HSA/CED/A/1/ Spring Board Algebra 2 Textbook

Real World Examples Utilizing Square Root and Cube Root Functions What are examples of ways people utilize functions in real world situations? ???

Real World Example of Square Root and Cube Root Functions The Power of a Race Car The age of an African Elephant

Academic Language Radical Functions: A function that contains a radical, such as y= or . Parent Function: The most basic function in a family of functions. (Linear function: y=x)

Graphs of Radical Functions

Example 1: Graph a Square Root Function

Example 1 Solution

Example 2: Graphing a Cube Root Function

Example 2 Solution

Example 3: Multi Step Problem

Example 3: Multi Step Problem

Guided Practice

Graphs of Radical Functions

Example 4 Translated Square Root Function

Example 4 Solution

Example 5 Translated Cube Root Function

Example 5 Solution

Guided Practice

Review How do we graph square root and cube root functions? How do we utilize this in the real world?

Explain the mathematical term: Review of terms Explain the mathematical term: Parent Function Radical Function

Class and HW Problems Worksheet