NC MATH 3 EOC REVIEW 6

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 does it mean for a function to be 'increasing'?

Back

A function is increasing on an interval if, for any two points x1 and x2 in that interval, if x1 < x2 then f(x1) < f(x2).

Front

Explain the concept of 'asymptote'.

Back

An asymptote is a line that a graph approaches but never touches or crosses, indicating the behavior of the function as it tends towards infinity.

Front

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

Back

A rational function is a ratio of two polynomials, while an irrational function involves roots that cannot be expressed as a ratio of polynomials.

Front

Define 'vertex' in the context of a parabola.

Back

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

Front

What is the significance of the slope in a linear function?

Back

The slope indicates the rate of change of the function; it represents how much the output value changes for a unit change in the input value.

Front

What is a system of equations?

Back

A system of equations is a set of two or more equations with the same variables, which can be solved simultaneously.

Front

Explain the concept of 'exponential growth'.

Back

Exponential growth occurs when a quantity increases by a consistent percentage over equal time intervals, leading to rapid increases.