Function or Not?

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 x-value 1 is paired with two different y-values (2 and 4).

Front

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

Back

Yes, because each x-value has only one y-value associated with it.

Front

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

Back

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

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 y-value.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph, where x is the input and y is the output.

Front

What is the definition of a relation?

Back

A relation is a set of ordered pairs, which can show how two quantities are related.

Front

If a graph passes the vertical line test, what can we conclude?

Back

We can conclude that the graph represents 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 a unique y-value.