Domain of Functions

Vocabulary flashcards covering domain rules and examples for linear, quadratic, cubic, rational, radical, cube root, and absolute value functions based on the lecture notes.

Linear Function Domain

The domain of a linear function, such as $x-1$, which is $(-\infty, \infty)$.

Quadratic Function Domain

The domain of a quadratic function, such as $x^2+3$, which is $(-\infty, \infty)$.

Cubic Function Domain

The domain of a cubic function, such as $x^3+3$, which is $(-\infty, \infty)$.

Rational Function Domain

The domain restriction for rational functions, such as $\frac{1}{x}$ or $\frac{2}{x+3}$, requiring that the denominator does not equal zero.

Radical Function (Even Roots) Domain

The domain restriction for even root radical functions, such as $\sqrt{x}$, $\sqrt{x+2}$, or $\sqrt{x-4}$, requiring that the expression inside the square root is greater than or equal to zero.

Cube Root Function Domain

The domain of a cube root function, such as $\sqrt[3]{x}$, which is $(-\infty, \infty)$.

Absolute Value Function Domain

The domain of an absolute value function, such as $|x|$, which is $(-\infty, \infty)$.