CFU - Intro to Functions

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 at more than one point, then the curve is not a function.

Front

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

Back

A mapping is a function if every input (x-value) corresponds to exactly one output (y-value).

Front

What is an ordered pair in the context of functions?

Back

An ordered pair is a pair of numbers (x, y) that represents a point in a coordinate system, where 'x' is the input and 'y' is the output.

Front

How can you tell if a set of ordered pairs represents a function?

Back

A set of ordered pairs represents a function if no x-value is repeated with a different y-value.

Front

What is a domain in a function?

Back

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

Front

What is a range in a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if every vertical line drawn through the graph intersects it at most once.

Front

What is a non-function?

Back

A non-function is a relation where at least one input (x-value) is associated with more than one output (y-value).

Front

What is the significance of repeating x-values in a relation?

Back

Repeating x-values in a relation can indicate that the relation is not a function if they correspond to different y-values.