Holt McDougal Algebra 2

5-7 Radical Functions Warm Up

Identify the domain and range of each function.

1. f(x) = x2 + 2

2. f(x) = 3x3

Use the description to write the quadratic function g based on the parent function f(x) = x2.3. f is translated 3 units up.

4. f is translated 2 units left.

Holt McDougal Algebra 2

5-7 Radical Functions

Graph radical functions and inequalities.Transform radical functions by changing parameters.

Objectives

Vocabulary

radical functionsquare-root function

Holt McDougal Algebra 2

5-7 Radical Functions • Radical Functions

Holt McDougal Algebra 2

5-7 Radical Functions The graphs of radical functions can be transformed by using methods similar to those used to transform linear, quadratic, polynomial, and exponential functions. This lesson will focus on transformations of square-root functions.

Holt McDougal Algebra 2

5-7 Radical Functions

Using the graph of as a guide, describe the transformation and graph the function.

Example 2: Transforming Square-Root Functions

g(x) = x + 5

f(x) = x

Holt McDougal Algebra 2

5-7 Radical Functions Example 3: Applying Multiple Transformations

Using the graph of as a guide, describe the transformation and graph the function

f(x)= x

Holt McDougal Algebra 2

5-7 Radical Functions Example 4: Writing Transformed Square-Root Functions

Holt McDougal Algebra 2

5-7 Radical Functions Example 5: Graphing Radical Inequalities

Graph the inequality .

Holt McDougal Algebra 2

5-7 Radical Functions

Graph the inequality.

Example 5b

HW: pages 372-375 #24-38 & 44-50even, 39-41, 51-54, 64,66, 73-76