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Solving Equations by Graphing - Intersection Method Let Y1 = left hand side of the equation. Let Y2 = right hand side of the equation. Example Solve the.

Published byArlene Berry Modified over 8 years ago

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Presentation on theme: "Solving Equations by Graphing - Intersection Method Let Y1 = left hand side of the equation. Let Y2 = right hand side of the equation. Example Solve the."— Presentation transcript:

1 Solving Equations by Graphing - Intersection Method Let Y1 = left hand side of the equation. Let Y2 = right hand side of the equation. Example Solve the equation: Find a suitable graph window that shows where the two graphs intersect. In this case ZOOM|ZStandard is sufficient.

2 The graph of the two curves is shown in the window. Slide 2 Solving Equations by Graphing - Intersection Method Example Solve the equation: We now want to find the two intersection points. It is at these two points where for a given x-value, Y1=Y2. This is the x-value for which the two sides of the equation are equal.

3 Use CALC|intersect to find the points of intersection. Slide 3 Example Solve the equation: Solving Equations by Graphing - Intersection Method The point on the left is approximately (- 0.24, 0.76). The point on the right is approximately (4.24, 5.24)

4 Approximate solutions to the equation are x = - 0.24, 4.24. Slide 4 Solving Equations by Graphing - Intersection Method 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, Y2 columns are approximately the same, as they should be.

5 Return to Table of Contents

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