Functions/ Relations CGMS

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 a relation?

Back

A relation is a set of ordered pairs, which can include functions but may also have inputs that map to multiple outputs.

Front

Which of the following is NOT a function? {(1,-5), (3,1), (-5,4), (4,-2)}, {(2,7), (3,7), (4,7), (5,8)}, {(1,-5), (-1,6), (1,5), (6,-3)}, {(3,-2), (5,-6), (7,7), (8,8)}

Back

{(1,-5), (-1,6), (1,5), (6,-3)}

Front

What is the domain of a relation?

Back

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

Front

Identify the domain of the relation {(-6,14), (0,32), (2,38), (4,44)}.

Back

{-6, 0, 2, 4}.

Front

What is the range of a relation?

Back

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

Front

All of the y values of a relation are called what?

Back

Range.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function by checking if any vertical line intersects the graph at more than one point.

Front

If a function has an input of 3 and outputs 5, what is the ordered pair?

Back

(3, 5).

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.