Functions/ Not a Function (Tables, Mapping, Graphs)

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input and an output.

Front

How can you determine if a relation is a function using a mapping diagram?

Back

A relation is a function if each input is connected to exactly one output in the mapping diagram.

Front

What does it mean if a relation is 'not a function'?

Back

It means that at least one input is associated with more than one output.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function; if any vertical line intersects the graph more than once, 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, but each input must have only one output.

Front

What is an example of a function?

Back

An example of a function is f(x) = x^2, where each input x has a unique output.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is the set of points {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function has at least one input with multiple outputs.

Front

How can you identify a function from a table of values?

Back

A function can be identified from a table of values if no two rows have the same input value.