Understanding Functions and Their Properties

Front

Is this mapping a function or not a function?

Back

Not a Function

Front

What is the definition of function?

Back

Every input has only ONE output.

Front

Is this mapping a function or not a function?

Back

Not a Function

Front

Is this mapping a function or not a function?

Back

Function

Front

Is the relation a function? Why?

Back

No, because the x-value 11 has two y-values pair with it.

Front

What is a function?

Back

A relation where each input has 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 corresponding y-value.

Front

What is a non-function?

Back

A relation where at least one input has more than one output.

Front

How can you determine if a relation is a function?

Back

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

Front

What is the domain of a function?

Back

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