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Solving Equations by Graphing - x-intercept Method

Example. Solve the equation:. Solving Equations by Graphing - x-intercept 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. Example. Solve the equation:.

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Solving Equations by Graphing - x-intercept Method

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  1. Example Solve the equation: Solving Equations by Graphing - x-intercept 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.

  2. Example Solve the equation: Solving Equations by Graphing - x-intercept 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 - x-intercept Method • Use CALC|zero to find the x-intercepts (explained in another slideshow). • The point on the left is approximately (- 0.24, 0). • The point on the right is approximately (4.24, 0) Slide 3

  4. Solving Equations by Graphing - x-intercept 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 4

  5. Example Solve the equation: Solving Equations by Graphing - x-intercept Method • The solutions just found were to the equation • Note that these are the same x-values that satisfy the original equation Slide 5

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