Function/Not a Function

Front

What is a function?

Back

A function is a relation where each x value has exactly one y value.

Front

Is the following relation a function? {(0,3), (2,3), (4,3), (10,3)}

Back

Yes, it is a function because each x value is paired with one y value.

Front

Is the following relation a function? {(0,3), (3,6), (0,2)}

Back

No, it is not a function because the x value 0 is paired with two different y values (3 and 2).

Front

Which of the following relations IS a function? {(0,3), (3,6), (0, 2)}, {(8,3), (2, 10), (9,1), (8, 10)}, {(9,0), (8,0), (10,0), (9,1)}, {(2,5), (12,3), (-39,3)}

Back

{(2,5), (12,3), (-39,3)} is a function because each x value is unique.

Front

When can ordered pairs still be a function if an x-value repeats?

Back

Ordered pairs can still be a function if the y values also repeat.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible x values that can be input into the function.

Front

What is the range of a function?

Back

The range of a function is the set of all possible y values that can be output from the 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, as long as each x value has only one corresponding y value.

Front

What is an example of a function?

Back

An example of a function is f(x) = 2x + 3, where each x value produces one unique y value.