Function or Not Function Classwork

Front

What is a function?

Back

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

Front

What is the vertical line test?

Back

The vertical line test is 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

Which of the following is a function? (3,4) (4,-3) (7,4) (3,8)

Back

Not a function, because the x-value 3 corresponds to two different y-values (4 and 8).

Front

Which of the following is a function? (6,-5) (7,-3) (8,-1) (9,1)

Back

This is a function, as each x-value corresponds to exactly one y-value.

Front

Is the equation y = x^2 + 5 a function?

Back

Yes, it is a function because for every x-value, there is only one corresponding y-value.

Front

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

Back

Each x-value must have only one y-value.

Front

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

Back

It means that at least one x-value corresponds to more than one y-value.

Front

What is an example of a non-function?

Back

The relation {(1,2), (1,3)} is not a function because the x-value 1 has two different y-values.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.