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Solving Equations by Graphing - Intersection Method

Learn how to solve equations by graphing using the intersection method. Find intersection points to identify solutions accurately. Use CALC|intersect for precision confirmation. Easily verify solutions through TABLE.

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Solving Equations by Graphing - Intersection Method

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

  2. Example Solve the equation: Solving Equations by Graphing - Intersection Method • The graph of the two curves is shown in the window. • 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. Slide 2

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

  4. Solving Equations by Graphing - Intersection 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, Y2 columns are approximately the same, as they should be. Slide 4

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