Download presentation

Presentation is loading. Please wait.

Published byRylie Grinstead Modified over 3 years ago

1
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. Example Solve the equation: 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
Slide 2 Find a suitable graph window that shows where the graph intersects the x-axis. In this case ZOOM|ZStandard is sufficient. Example Solve the equation: Solving Equations by Graphing - Y2=0 Method 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.

3
Slide 3 Example Solve the equation: 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. Solving Equations by Graphing - Y2=0 Method

4
Slide 4 Example Solve the equation: 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) Solving Equations by Graphing - Y2=0 Method

5
Approximate solutions to the equation are x = - 0.24, 4.24. Slide 5 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. Solving Equations by Graphing - Y2=0 Method

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

7
Return to Table of Contents

Similar presentations

OK

Recall that the equations for a parabola are given by ...

Recall that the equations for a parabola are given by ...

© 2018 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google