Identifying Functions from Mapping Diagrams and Tables

Front

What is a function in mathematics?

Back

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

Front

How can you identify a function from a mapping diagram?

Back

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

Front

What does it mean if a mapping diagram has an input connected to multiple outputs?

Back

It means that the relation is not a function.

Front

What is the vertical line test?

Back

The vertical line test states that if a vertical line intersects a graph at more than one point, the graph does not represent a function.

Front

What is a table of values in relation to functions?

Back

A table of values lists pairs of inputs and outputs, which can help determine if a relation is a function.

Front

How can you tell if a table of values represents a function?

Back

A table represents a function if each input value corresponds to exactly one output value.

Front

What is the definition of a one-to-one function?

Back

A one-to-one function is a function where each output is associated with exactly one input.

Front

What is the difference between a function and a relation?

Back

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

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.