Mapping Diagrams

Front

What is a function in mathematical terms?

Back

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

Front

What does it mean for a relation to not be a function?

Back

A relation is not a function if an input (x) is associated with multiple outputs (y).

Front

How can you determine if a mapping diagram represents a function?

Back

You can determine if a mapping diagram represents a function by checking if each input (x) has exactly one output (y).

Front

What is a mapping diagram?

Back

A mapping diagram is a visual representation of a function that shows how each input is paired with its corresponding output.

Front

What is the vertical line test?

Back

The vertical line test is a method used 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 the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, 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 {(1, 2), (1, 3)}, where the input 1 is associated with two different outputs.