Understanding functions

Front

What is a function?

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

Does the set of ordered pairs {(6,0), (-12, −16), (−6, 10), (20, −7)} represent a function?

Back

Yes, because each input (first element of the pair) is unique.

Front

Is the following a function: {(1, 2), (1, 3)}?

Back

No, because the input '1' is related to two different outputs.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs in a function.

Front

Does this mapping diagram represent a function if one input maps to multiple outputs?

Back

No, it does not represent a function.

Front

What is the vertical line test?

Back

A method to determine if a curve is a function; if a vertical line intersects the curve 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.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

Is the relation {(2, 3), (3, 4), (2, 5)} a function?

Back

No, because the input '2' is related to two different outputs.