Understanding Domains in Functions

These flashcards cover key concepts related to understanding the domain of functions, including definitions and procedures involved in determining valid input values.

Domain

The set of all possible input values (x-values) for which a function is defined.

Rationalizing the numerator

The process of eliminating a radical from the numerator of a fraction.

Denominator

The bottom part of a fraction, which indicates the total number of equal parts the unit is divided into.

Radicand

The number or expression under a radical sign.

Intersection of domains

The set of values that are common to both function domains.

Even index radical

A radical that has an even root (such as square roots), which cannot have negative radicands.

Inequality

A mathematical statement that indicates one expression is larger or smaller than another, using symbols like

Function composition

Combining two functions where the output of one function becomes the input of the other.

Quotient of functions

The result of dividing one function by another, requiring that the denominator is not zero.

Removing values from the domain

The process of excluding certain input values that do not yield valid outputs for a function.