Identify Functions in Tables

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 tell if a table represents a function?

Back

A table represents a function if no x-value is repeated with different y-values.

Front

What does it mean if a table has the same x-value with different y-values?

Back

It means the relation is not a function.

Front

Is the following a function? (x: 1, 2, 3; y: 4, 5, 6)

Back

YES, because each x-value has a unique y-value.

Front

Is the following a function? (x: 1, 2, 2; y: 3, 4, 5)

Back

NO, because the x-value 2 has two different y-values (4 and 5).

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 relation is not a function.

Front

Can a function have the same y-value for different x-values?

Back

Yes, a function can have the same y-value for different x-values.

Front

What is an example of a function?

Back

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

Front

What is an example of a non-function?

Back

An example of a non-function is the relation {(1, 2), (1, 3)}, where the x-value 1 has two different outputs.

Front

What is a one-to-one function?

Back

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