Functions (Ordered Pairs & Tables)

Front

What is the definition of a function?

Back

A function is a relation where every input has only ONE output.

Front

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

Back

Yes

Front

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

Back

No

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where x is the input and y is the output.

Front

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

Back

A relation is not a function if at least one input has more than one output.

Front

Identify if the following set is a function: {(5,6), (5,7), (8,9)}

Back

Not a Function

Front

Which of the following is a function? {(1,2), (2,3), (3,2)} or {(1,2), (1,3), (2,4)}?

Back

{(1,2), (2,3), (3,2)} is a function.

Front

What is the vertical line test?

Back

The vertical line test determines if a relation is a function by checking if any vertical line intersects the graph more than once.

Front

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

Back

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

Front

What is the domain of a function?

Back

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