Absolute Value and Quadratic Inequalities

Front

What is the definition of absolute value?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted as |x|.

Front

How do you solve a quadratic inequality?

Back

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

Front

What does the vertex of a quadratic function represent?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola. It represents the maximum or minimum value of the function.

Front

What is the standard form of a quadratic function?

Back

Front

What is the significance of the inequality symbol in quadratic inequalities?

Back

The inequality symbol indicates the relationship between the quadratic expression and a value, determining the solution set of the inequality.

Front

How do you graph a quadratic inequality?

Back

To graph a quadratic inequality, first graph the corresponding quadratic equation as a boundary line, then shade the region that satisfies the inequality.

Front

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

Back

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

Front

What does it mean for a point to be part of the solution set of an inequality?

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A point is part of the solution set of an inequality if it satisfies the inequality when substituted into it.

Front

How do you find the x-intercepts of a quadratic function?

Back

To find the x-intercepts of a quadratic function, set the function equal to zero and solve for x.

Front

What is the quadratic formula?

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