Quadratic inequalities

Front

What is a quadratic inequality?

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Front

How do you graph a quadratic inequality?

Back

To graph a quadratic inequality, first graph the corresponding quadratic equation as a parabola. Then, determine the regions that satisfy the inequality by testing points or using the vertex and intercepts.

Front

What does the symbol '<' indicate in a quadratic inequality?

Back

The symbol '<' indicates that the values of the quadratic expression are less than zero, meaning the solution set includes points below the x-axis.

Front

What does the symbol '≤' indicate in a quadratic inequality?

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The symbol '≤' indicates that the values of the quadratic expression are less than or equal to zero, meaning the solution set includes points on the x-axis as well as below it.

Front

What is the vertex of a quadratic function?

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Front

How do you find the roots of a quadratic equation?

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Front

What is the significance of the discriminant in a quadratic equation?

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Front

What is the difference between strict and non-strict inequalities?

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Strict inequalities ('<' and '>') do not include the boundary points, while non-strict inequalities ('≤' and '≥') include the boundary points.

Front

How do you solve a quadratic inequality?

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To solve a quadratic inequality, first find the roots of the corresponding quadratic equation, then test intervals between the roots to determine where the inequality holds true.

Front

What is the standard form of a quadratic function?

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