Functions and Relations

Front

What is the Vertical Line Test?

Back

A method used to determine if a relation is a function by checking if any vertical line intersects the graph at more than one point.

Front

Define the domain of a function.

Back

The set of all possible first coordinates (x-values) of a relation or function.

Front

What is the range of a function?

Back

The set of all possible second coordinates (y-values) of a relation or function.

Front

What does it mean for a relation to be a function?

Back

Each input (x-value) must correspond to exactly one output (y-value).

Front

What is a mapping in the context of functions?

Back

A representation of a function that pairs each element of the domain with exactly one element of the range.

Front

How do you find the domain of a function given a graph?

Back

Identify all the x-values that the graph covers.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output, while a relation can have multiple outputs for a single input.

Front

What is function notation?

Back

A way to denote functions using symbols, typically written as f(x), where f is the function and x is the input.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represent a point in a coordinate system.

Front

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

Back

Use parentheses and brackets to indicate open and closed intervals, e.g., (a, b) or [a, b].