graphing

Fixing quadratic inequalities on a graphing calculator includes discovering the values of the variable that make the inequality true. A quadratic inequality is an inequality that may be written within the kind ax^2 + bx + c > 0, ax^2 + bx + c < 0, ax^2 + bx + c 0, or ax^2 + bx + c 0, the place a, b, and c are actual numbers and a 0.

Graphing calculators can be utilized to resolve quadratic inequalities by graphing the quadratic operate y = ax^2 + bx + c after which figuring out the values of the variable for which the graph is above or beneath the x-axis (relying on the inequality). For instance, to resolve the inequality x^2 – 4x + 3 > 0 on a graphing calculator, you’d first enter the operate y = x^2 – 4x + 3 into the calculator. Then, you’d graph the operate and decide the values of x for which the graph is above the x-axis. On this case, the graph is above the x-axis for x < 1 or x > 3, so the answer to the inequality is x < 1 or x > 3.

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