Function or Not a Function

Front

What is a function?

Back

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

Front

What must be true for a relation to be considered a function?

Back

Each x value must have only one 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

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

Back

It means that at least one x-value is paired with more than one y-value.

Front

Give an example of a function using ordered pairs.

Back

(2, 3), (3, 4), (4, 5) - each x-value is unique.

Front

Give an example of a relation that is not a function using ordered pairs.

Back

(1, 2), (1, 3) - the x-value 1 is paired with two different y-values.

Front

What is the significance of the x-value in a function?

Back

The x-value is the input of the function, which determines the corresponding y-value.

Front

What is the significance of the y-value in a function?

Back

The y-value is the output of the function, which is determined by the x-value.

Front

What does it mean for a graph to pass the vertical line test?

Back

It means that for every x-value, there is only one corresponding y-value.

Front

What is an example of a graph that is a function?

Back

A straight line or a parabola that does not intersect a vertical line more than once.