FUNCTIONS

Front

What is a function?

Back

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

Front

Which of the following is a function? W, X, Y, Z

Back

Z is a function.

Front

What does it mean if a relation is not a function?

Back

It means that at least one input (x-value) is associated with more than one output (y-value).

Front

How can you determine if a mapping is a function?

Back

Check if each x-value has only one corresponding y-value.

Front

What is the vertical line test?

Back

A method 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

Is the relation with x-value 11 having two y-values a function?

Back

No, because the x-value 11 has two y-values paired with it.

Front

What does it mean for x-values to repeat in a function?

Back

If x-values repeat, it may indicate that the relation is not a function unless each repeated x-value has the same y-value.

Front

Can a function have multiple outputs for the same input?

Back

No, a function cannot have multiple outputs for the same input.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has one corresponding y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1, 2), (1, 3)} is not a function because the input 1 has two different outputs.