RELATIONS AND FUNCTIONS

Front

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

Back

Function

Front

Identify the relation that 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 vertical line test used for?

Back

To determine if a graph represents a function.

Front

What does it mean if a graph passes the vertical line test?

Back

It means that for every x-value, there is only one corresponding y-value, indicating it is a function.

Front

What is a function?

Back

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

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because each x-value has one y-value.

Front

What is an example of a relation that is not a function?

Back

The relation {(1,2), (1,3)} is not a function because the input 1 has two different outputs.

Front

What is the definition of a domain in a function?

Back

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

Front

What is the definition of a range in a function?

Back

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

Front

How can you determine if a table of values represents a function?

Back

Check if any x-value is repeated; if it is, then it is not a function.