Function or Not?

Front

What is a function?

Back

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

Front

Is the relation (2,3), (2,4), (3,5) a function? Why?

Back

No, because the x-value 2 has two different y-values (3 and 4).

Front

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

Back

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

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? (1,2), (1,3), (2,4) or (1,2), (1,2), (2,3)?

Back

(1,2), (1,3), (2,4) is a function because each x-value is unique.

Front

What does it mean for a relation to not be a function?

Back

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

Front

If f(x) = 2x + 3, what is f(2)?

Back

f(2) = 2(2) + 3 = 7.

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-value) and an output (y-value).

Front

Is the graph of y = x^2 a function?

Back

Yes, because for every x-value, there is exactly one y-value.

Front

What is an example of a non-function?

Back

The relation (1,2), (1,3) is a non-function because the x-value 1 has two different y-values.