Front

What is a function?

Back

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

Front

Which of the following is a function? (3,4) (4,-3) (7,4) (3,8) or (6,-5) (7,-3) (8,-1) (9,1)?

Back

(6,-5) (7,-3) (8,-1) (9,1) is a function because each x-value is unique.

Front

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

Back

A relation is not a function if at least one x-value is paired with more than one 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? Why?

Back

No, because the x-value 1 is paired with two different y-values (2 and 4).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point on a graph.

Front

If a function has an input of 5 and an output of 10, what is the function's rule?

Back

The function's rule could be f(x) = 2x, since f(5) = 2(5) = 10.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

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.