Functions (mapping and graphs)

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where x is the input and y is the output.

Front

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

Back

A relation is a function if no two different ordered pairs have the same first element (x-value).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs, as long as each input has only one output.

Front

What is a mapping in the context of functions?

Back

A mapping describes how each element in a set (domain) is paired with an element in another set (range).

Front

What is the domain of a function?

Back

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

Front

What is the range of 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 if a table is not a function?

Back

If a table is not a function, it means that at least one input (x-value) is associated with more than one output (y-value).

Front

How can you tell if a set of points represents a function?

Back

You can tell if a set of points represents a function by checking if any x-value is repeated with different y-values.