Spring Finals Review

Front

What is the discriminant of a quadratic function?

Back

The discriminant is a value that determines the nature of the roots of a quadratic equation. It is calculated using the formula: D = b² - 4ac, where a, b, and c are coefficients of the quadratic equation ax² + bx + c.

Front

What does a positive discriminant indicate about the roots of a quadratic function?

Back

A positive discriminant indicates that the quadratic function has two distinct real roots.

Front

What does a negative discriminant indicate about the roots of a quadratic function?

Back

A negative discriminant indicates that the quadratic function has no real roots, but two complex roots.

Front

What does a zero discriminant indicate about the roots of a quadratic function?

Back

A zero discriminant indicates that the quadratic function has exactly one real root, also known as a repeated or double root.

Front

What is the formula for the area of a rectangle?

Back

The area of a rectangle is calculated using the formula: Area = length × width.

Front

What is the formula for the area of a triangle?

Back

The area of a triangle is calculated using the formula: Area = 1/2 × base × height.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What is a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.