Given+the+description+of+a+non-linear+relation,+draw+the+graph.

  A non-linear relation is a relation in which the graph it creates does **not** form a straight line.
 * Non-Linear Relations **
 * The skill that you should be able to develop from these notes is: **
 *  “Given the description of a non-linear relation, draw the graph.” **

When drawing a graph for a non-linear equation, you will have to draw a curve through the points. This curve is known as the curve of best fit.

How to solve a non-linear relation:

** 1) ** You must first create a table of values so that you can evaluate the equation and determine the values of x and y.    ** 2)  ** After the first step has been completed you are now able to graph the equation based on the coordinates of x and y that were determined in part 1. 

** Step 1: ** Create a table of values.   
 * Example: Graph the equation y=x **** ² with the domain from 3 to -3 **
 * **x ** || **x² ** || **y ** || **(x,y) ** ||
 * <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">0 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">0² || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">0 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">(0,0) ||
 * <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">1 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">1² || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">1 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">(1,1) ||
 * <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">-1 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">-1² || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">1 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">(-1,1) ||
 * <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">2 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">2² || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">4 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">(2,4) ||
 * <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">-2 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">-2² || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">4 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">(-2,4) ||
 * <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">3 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">3² || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">9 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">(3,9) ||
 * <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">-3 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">-3² || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">9 || <span style="display: block; font-family: Times New Roman; font-size: 14pt; msoansilanguage: EN-US; text-align: center;">(-3,9) ||

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 120%;">Step 2: After creating the table of values, you are now able to properly graph the equation.















<span style="font-family: 'Times New Roman'; font-size: 14pt; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: 'Times New Roman'; mso-fareast-language: EN-CA;">