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Graph the following function: f(x) = x 2 + 4x - 6

Graph the following function: f(x) = x 2 + 4x - 6 . 6-7 Graphing and Solving Quadratic Inequalities Yo u can graph quadratic inequalities using the same techniques you used to graph linear inequalities. 1. G raph the boundary . Determine if it should be solid or dashed.

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Graph the following function: f(x) = x 2 + 4x - 6

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  1. Graph the following function: f(x) = x2 + 4x - 6

  2. 6-7 Graphing and Solving Quadratic Inequalities You can graph quadratic inequalities using the same techniques you used to graph linear inequalities. 1.Graph the boundary. Determine if it should be solid or dashed. 2.Point Test in each region. 3.Shade the region whose ordered pair results in a true inequality.

  3. Graph a Quadratic Inequality Ex 1: Graph each inequality. a) y > x2 +4x -6 1. Graph the boundary. Determine if it should be solid or dashed. ****Table and boundary graph from previous slides**** 2. Test a point in each region. 3. Shade the region whose ordered pair results in a true inequality.

  4. a) y < x2 + 3x - 4 1. Graph the boundary. Determine if it should be solid or dashed. 2. Test a point in each region. 3. Shade the region whose ordered pair results in a true inequality.

  5. You can also solve quadratic inequalities algebraically. The equations will have only one variable x. So this answer will not be in the two-dimensional coordinate plane. It will be on the one- dimensional number line. There are 5 steps to solving a quadratic inequality algebraically. 1. Set the inequality equal to zero. 2. Factor 3. Solve for x. 4. Plot on a number line. 5. Use chart to find where inequality is true.

  6. Ex3. Solve algebraically. a) x2 + 2x + 3 > 11 x2 + 2x - 8 > 0 x2 + 2x - 8 = 0 set equal to zero (x+4)(x-2) = 0 factor

  7. b) x2 + 9x + 14 < 0

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