A2U1 Domain and Range

Front

What is the definition of Domain in a function?

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 a function?

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 polynomial function?

Back

The range of a polynomial function can be determined by analyzing its end behavior and critical points.

Front

What is the domain of the function f(x) = \frac{1}{x-2}?

Back

The domain is all real numbers except x = 2, as the function is undefined at that point.

Front

What is the range of the function f(x) = x^2?

Back

The range is all real numbers y such that y ≥ 0, since the output of a square function is always non-negative.

Front

What does it mean to factor a polynomial?

Back

Factoring a polynomial means expressing it as a product of its factors, which are polynomials of lower degrees.

Front

What is the Greatest Common Factor (GCF)?

Back

The GCF is the largest polynomial that divides each term of a polynomial without leaving a remainder.

Front

Factor the polynomial 39y^5 + 12y^4 - 3y^3.

Back

3y^3(13y^2 + 4y - 1).

Front

What is the domain of the graph represented by -3 ≤ x ≤ 3?

Back

The domain includes all x-values from -3 to 3, inclusive.