Identifying Functions - Core 3

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How can you identify a function from a set of ordered pairs?

Back

A set of ordered pairs is a function if no x-value is repeated with different y-values.

Front

What are the x-values in a function called?

Back

The x-values are called inputs.

Front

What are the y-values in a function called?

Back

The y-values are called outputs.

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 {(1,2), (2,3), (1,4)} a function? Why?

Back

No, because the x-value 1 has two different y-values (2 and 4).

Front

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

Back

Yes, because each x-value has only one y-value paired with it.

Front

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

Back

A relation is not a function if at least one x-value is paired with more than one y-value.

Front

If a function has an input of 7 and outputs of 2 and 3, is it a function?

Back

No, because the input 7 has two different outputs.