Math Example--Special Functions--Square Root Functions in Tabular and Graph Form: Example 1

Topic

Radical Functions

Description

This example illustrates the function y = √(x). The graph shows an increasing curve starting at the origin (0, 0) and rising as x increases. A table displays x-y coordinates for x-values of 0, 1, 3, 5, and 7, with the graph plotting these points to show their corresponding y-values. Students are tasked with creating a table of x-y coordinates and graphing the function y = √(x), with x-values of 0, 1, 3, 5, and 7 and corresponding y-values of 0, 1, 1.732, 2.236, and 2.646.

Radical functions, particularly square root functions, are an important topic in algebra. They introduce students to non-linear relationships and help develop understanding of irrational numbers. This collection of examples provides a comprehensive look at various forms of square root functions, allowing students to compare and contrast their behaviors.

Seeing multiple worked-out examples is crucial for students to fully grasp the concept of square root functions. Each example builds on the previous one, gradually increasing in complexity. This approach helps students recognize patterns, understand the impact of different coefficients and constants, and develop problem-solving skills.

Teacher's Script: Today, we're going to explore the square root function y = √(x). Let's start by creating a table of x-y coordinates. We'll use x-values of 0, 1, 3, 5, and 7. Can anyone tell me what the y-value would be when x is 0? That's right, it's 0. Now, let's calculate the rest and plot these points on our graph. Notice how the curve starts at the origin and increases more slowly as x gets larger. This is a characteristic behavior of square root functions.

For a complete collection of math examples related to Radical Functions click on this link: Math Examples: Square Root Functions Collection.