1 / 7

Solving Equations by Graphing - Y2=0 Method

Learn how to solve equations graphically using the Y2=0 method. Follow steps to find x-intercepts and confirm solutions using the TABLE feature.

lsavage
Download Presentation

Solving Equations by Graphing - Y2=0 Method

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Example Solve the equation: Solving Equations by Graphing - Y2=0 Method • Move all terms to the left hand side of the equation, so that zero is on the right hand side. • Let Y1 = left hand side of the equation. • Let Y2 = 0 You can think of this as being the right hand side of the equation.

  2. Example Solve the equation: Solving Equations by Graphing - Y2=0 Method • Find a suitable graph window that shows where the graph intersects the x-axis. In this case ZOOM|ZStandard is sufficient. • We now want to find the x-intercepts. These are the points (x,0) where, for a given value of x, the y-value is zero, or Y1 = 0.   Slide 2

  3. Example Solve the equation: Solving Equations by Graphing - Y2=0 Method • Recall that Y2=0 is a horizontal line, which is actually the x-axis … • Since the line is the x-axis, it is “hidden”, and its not obvious looking at the calculator screen that we have actually drawn two curves on the graph. Slide 3

  4. Example Solve the equation: Solving Equations by Graphing - Y2=0 Method • Use CALC|intersect (explained in an earlier module) to find the intersection points of the curve and the line. Note that these points are also the x-intercepts of the curve • The point on the left is approximately (- 0.24, 0). • The point on the right is approximately (4.24, 0) Slide 4

  5. Solving Equations by Graphing - Y2=0 Method • Approximate solutions to the equation are x = - 0.24, 4.24. • To confirm that these are correct solutions, use TABLE. • TBLSET, Ask • TABLE • Enter the two x-values in the x-column and notice that the values in the Y1 column are approximately zero, as they should be. Slide 5

  6. Example Solve the equation: Solving Equations by Graphing - Y2=0 Method • The solutions just found were to the equation • Note that these are the same x-values that satisfy the original equation Slide 6

  7. Return to Table of Contents

More Related