Relation and Functions Review

Front

What is the range of the function represented by the points (3,-3), (2,-4), (5,0), (1,-2)?

Back

The range is (-3,-4,0,-2).

Front

What is a relation where every input yields one and only one output?

Back

A Function.

Front

Is the relation represented by the points (1,-2), (4,-5), (0,3), (2,7) a function?

Back

Yes.

Front

What is the domain of the relation represented by the points (3,-3), (2,-4), (5,0), (1,-2)?

Back

The domain is (1,2,3,5).

Front

Define a function in mathematical terms.

Back

A function is a relation in which each input is associated with exactly one output.

Front

What is the difference between a relation and a function?

Back

A relation can have multiple outputs for a single input, while a function cannot.

Front

What is the vertical line test?

Back

A method to determine if a relation is a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

If a function has the points (2,3), (2,4), (3,5), is it a function?

Back

No, because the input 2 has two different outputs.