Domain of a function

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

How do you determine the domain of a polynomial function?

Back

The domain of a polynomial function is all real numbers, denoted as (-∞, ∞).

Front

What is the domain of a rational function?

Back

The domain of a rational function is all real numbers except where the denominator is zero.

Front

How do you find the domain of a square root function?

Back

The domain of a square root function is the set of all x-values for which the expression inside the square root is non-negative.

Front

What is the domain of the function f(x) = 1/(x-2)?

Back

The domain is all real numbers except x = 2, or (-∞, 2) U (2, ∞).

Front

What is the domain of the function f(x) = √(x-3)?

Back

The domain is x ≥ 3, or [3, ∞).

Front

How do you express the domain of a function using interval notation?

Back

Interval notation uses brackets [ ] for inclusive endpoints and parentheses ( ) for exclusive endpoints.

Front

What is the domain of the function f(x) = log(x)?

Back

The domain is x > 0, or (0, ∞).

Front

How do you find the domain of a piecewise function?

Back

To find the domain of a piecewise function, consider the domains of each piece and take the union of those domains.

Front

What is the domain of the function f(x) = 1/(x^2 - 4)?

Back

The domain is all real numbers except x = -2 and x = 2, or (-∞, -2) U (-2, 2) U (2, ∞).