Function or not

Front

What is a test that is used to check if the graph is a function or not?

Back

Vertical Line Test: If a vertical line intersects the graph at more than one point, then the relation is not a function.

Front

What does it mean for a relation to be a function?

Back

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

Front

What is the Vertical Line Test?

Back

A method to determine if a graph represents a function by checking if any vertical line crosses the graph more than once.

Front

What is the difference between a function and a non-function?

Back

A function has one output for each input, while a non-function can have multiple outputs for a single input.

Front

Is the relation (1,2), (1,3), (2,4) a function?

Back

No, because the input '1' has two different outputs (2 and 3).

Front

Is the relation (3,4), (5,6), (3,7) a function?

Back

No, because the input '3' has two different outputs (4 and 7).

Front

What does it mean for y to be a function of x?

Back

It means that for every value of x, there is exactly one corresponding value of y.

Front

Can a vertical line ever be a function?

Back

No, a vertical line represents a relation where each x-value corresponds to multiple y-values, thus it is not a function.

Front

What is an example of a function?

Back

The equation y = 2x + 3 is a function because for every x-value, there is one unique y-value.

Front

What is an example of a non-function?

Back

The equation x^2 + y^2 = 1 is a non-function because a single x-value can correspond to two different y-values.