NC MATH 3 EOC REVIEW 3

Front

What is the definition of a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input from a given set, known as the domain.

Front

What is the quadratic formula?

Back

The quadratic formula is used to find the solutions of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Front

Define the term 'discriminant' in the context of quadratic equations.

Back

The discriminant is the part of the quadratic formula under the square root, b² - 4ac, which determines the nature of the roots of the equation.

Front

What is the vertex of a parabola?

Back

The vertex of a parabola is the highest or lowest point on the graph, depending on the direction it opens.

Front

Explain the concept of slope in a linear function.

Back

The slope of a linear function represents the rate of change of the function, calculated as the rise over run between two points on the line.

Front

What is the difference between a rational and an irrational number?

Back

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a simple fraction.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

Define 'asymptote' in relation to graphing functions.

Back

An asymptote is a line that a graph approaches but never touches or crosses.

Front

What is the purpose of factoring in algebra?

Back

Factoring is used to simplify expressions, solve equations, and find roots of polynomials.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables that are solved simultaneously.