U3 Review

Front

What is a quadratic inequality?

Back

Front

How do you solve a quadratic inequality?

Back

1. Solve the corresponding quadratic equation to find critical points. 2. Test intervals between the critical points to determine where the inequality holds.

Front

What does the solution set of a quadratic inequality represent?

Back

The solution set represents the range of values for which the quadratic expression is either less than or greater than zero.

Front

What is the significance of critical points in quadratic inequalities?

Back

Critical points are the x-values where the quadratic expression equals zero; they help in determining the intervals to test for the inequality.

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables, and the solution is the region where all inequalities overlap.

Front

How do you determine if a point is a solution to a system of inequalities?

Back

Substitute the point into each inequality. If it satisfies all inequalities, it is a solution.

Front

What does the graph of an inequality represent?

Back

The graph of an inequality represents all the points that satisfy the inequality, often shaded to indicate the solution region.

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

How do you interpret the solution of a quadratic inequality graphically?

Back

The solution is represented by the x-values where the graph of the quadratic function lies above or below the x-axis, depending on the inequality.

Front

What is the vertex form of a quadratic function?

Back