A2U1 Domain and Range

Front

What is the definition of Domain in mathematics?

Back

The domain of a function is the complete set of possible values of the independent variable (usually x) for which the function is defined.

Front

What is the definition of Range in mathematics?

Back

The range of a function is the complete set of possible values of the dependent variable (usually y) that result from using the function.

Front

How do you find the domain of a polynomial function?

Back

The domain of a polynomial function is all real numbers, as polynomials are defined for every real number.

Front

How do you find the range of a quadratic function?

Back

Front

What is the vertex of a quadratic function?

Back

Front

What is the significance of the leading coefficient in a quadratic function?

Back

The leading coefficient (a) determines the direction of the parabola: if a > 0, the parabola opens upward; if a < 0, it opens downward.

Front

What is the process of factoring a quadratic expression?

Back

To factor a quadratic expression, find two numbers that multiply to the constant term and add to the coefficient of the linear term.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest factor that divides two or more numbers or expressions without leaving a remainder.

Front

How do you factor by using GCF?

Back

To factor by GCF, identify the highest common factor of the terms and factor it out from each term.

Front

What is the difference between domain and range?

Back

Domain refers to the input values (x-values) of a function, while range refers to the output values (y-values) that result from those inputs.