Front

What is a function in mathematics?

Back

A function is a relation between a set of inputs and a set of possible outputs where each input is related to exactly one output.

Front

What is the vertical line test?

Back

The vertical line test is a method used to determine if a curve is a function. If any vertical line intersects the curve more than once, then the curve is not a function.

Front

What does it mean for a mapping diagram to represent a function?

Back

A mapping diagram represents a function if each input (domain) is connected to exactly one output (range).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers used to represent a point in a coordinate system, typically written in the form (x, y).

Front

How can you determine if a set of values is a function?

Back

A set of values is a function if no two ordered pairs have the same first element (input) but different second elements (outputs).

Front

What is the significance of the output in a function?

Back

The output in a function is the result obtained after applying the function to an input, representing the dependent variable.

Front

What is a domain in the context of functions?

Back

The domain of a function is the complete set of possible values of the independent variable (input).

Front

What is a range in the context of functions?

Back

The range of a function is the complete set of possible values of the dependent variable (output).

Front

What does it mean for a graph to pass the vertical line test?

Back

A graph passes the vertical line test if every vertical line drawn on the graph intersects it at most once, indicating that it represents a function.

Front

What is a function notation?

Back

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