Identify Functions

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 (1,5), (1,6), (1,7), (1,8), (1,9) a function?

Back

Not a function, because the input 1 has multiple outputs.

Front

Is the relation (9,5), (10,5), (9,-5), (10,-5) a function?

Back

Not a function, because the input 9 has multiple outputs.

Front

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

Back

Function, because each input has a unique output.

Front

What is an example of a function?

Back

f(x) = 2x + 3 is a function because for every x, there is one corresponding y.

Front

What is a relation?

Back

A relation is a set of ordered pairs, which may or may not be a function.

Front

How can you determine if a relation is a function using a graph?

Back

Use the vertical line test: if a vertical line crosses the graph more than once, it is not a function.

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

What does it mean for a function to be one-to-one?

Back

A one-to-one function means that each output is paired with exactly one input.