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 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

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

Back

No, because the input '1' has two different outputs (2 and 4).

Front

Is the relation {(3,5), (4,5), (5,5)} a function?

Back

Yes, because each input has exactly one output.

Front

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

Back

It means that at least one input corresponds to more than one output.

Front

Can a vertical line ever cross a function's graph more than once?

Back

No, if it does, the graph does not represent a function.

Front

What is an example of a function?

Back

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

Front

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

Back

An example is the relation {(1,2), (1,3)}, where the input '1' has two outputs.

Front

How can you tell if a set of ordered pairs is a function?

Back

Check if each x-value is unique; if any x-value repeats with different y-values, it is not a function.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for the function.