BackIntro to Functions & Their Graphs definitions
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1/15BackSkip to main contentBackRelation
A connection between x and y values, represented as ordered pairs, where each input may correspond to one or more outputs. Function
A special type of relation where each input is paired with at most one output, ensuring no input has multiple outputs. Input
The x-value in a relation or function, representing the independent variable or domain element. Output
The y-value in a relation or function, representing the dependent variable or range element. Vertical Line Test
A graphical method to determine if a graph represents a function by checking if any vertical line crosses more than one point. Domain
The set of all possible x-values for which a function or relation is defined, often found by identifying restrictions. Range
The set of all possible y-values that a function or relation can produce, determined from the graph or equation. Interval Notation
A way to express domains and ranges using brackets and parentheses to indicate included or excluded endpoints. Set Builder Notation
A notation using inequality symbols to describe the set of values that satisfy certain conditions for domain or range. Function Notation
A symbolic way to represent functions, typically using f(x) instead of y, to clarify input-output relationships. Slope-Intercept Form
An equation format y = mx + b, where m is the slope and b is the y-intercept, always representing a function. Restriction
A value or condition that is excluded from the domain, often due to division by zero or negative values under a square root. Union Symbol
A symbol (∪) used in interval notation to combine multiple intervals when the domain or range has gaps. Open Circle
A graphical indicator showing that a specific endpoint is not included in the domain or range. Closed Circle
A graphical indicator showing that a specific endpoint is included in the domain or range.
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