13.1: Inverse Variation Created by: CK-12 Texas Instruments Algebra I Student Edition SE Rational Equations and Functions; Topics in Statistics Edit Review Was this helpful? Submit Review Skip Review Cancel Read Resources Details This activity is intended to supplement Algebra I, Chapter 12, Lesson 1. Part 1 - Enter the Data Enter the data from the table into lists. Press STAT ENTER. Enter the column in and the column in as shown. 1 2 3 4 5 6 Press , and select Plot1. Press ENTER to turn the plot On. Select scatter as the type of plot, for the Xlist, and for the Ylist. Press WINDOW. Set the window to the following: Press GRAPH. Part 2 - Questions How would you describe the relationship between and by examining this data? Press STAT ENTER to return to the lists. What relationships can you see by examining the numbers in the lists? What is the product of each pair of numbers? Arrow to the top of . Enter a formula to multiply the entries in by the entries in . Press for and press for . Press ENTER to execute the formula. The product in each case is . So, or . This relationship, when and have a constant product, is called “inverse variation.” What type of situation might this be a formula for? Solve the equation for . Press . Enter the equation into . What is your equation? Press GRAPH. What other information can you find from the graph of the equation that you could not gather from the plot? Does this graph appear to be a function? Explain. Press [TABLE] to examine the function table. What is happening when ? Why? Arrow up to the negative values in the table. What do you notice about the values? Why does this occur? What do you think the graph of your equation looks like to the left of the axis? Press WINDOW. Set the window as shown to examine the graph when is negative. Press GRAPH. What appears to be happening when ? Why does the graph of the equation not appear in Quadrants II or IV? Do you think an inverse variation can ever be found in Quadrants II or IV? Why? Does this graph appear to be a function now? Explain. Image Attributions Description No description available here... Authors: CK12 Editor Tags: TI.MAT.ENG.SE.1.Algebra-I.13 inverse variation subtracting rational expressions (1 more) adding rational expressions Categories: mathematics Algebra Grades: 9 , 10 Date Created: Feb 22, 2012 Last Modified: Dec 11, 2013 You can only attach files to None which belong to you If you would like to associate files with this None, please make a copy first.