Functions vs Not Functions

Front

What are all of the x values called?

Back

Inputs

Front

Is this graph a function? (If it fails the vertical line test, what does it mean?)

Back

It's not a function.

Front

What is the definition of a function?

Back

Every input has exactly one output.

Front

Is this table a function or not a function? (If any x-value is repeated with different y-values, what does it mean?)

Back

Not a Function.

Front

Is this a function? (If it fails the vertical line test, what does it mean?)

Back

Not a function.

Front

What is a function?

Back

A relation where each input has one unique output.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

Can a function have the same output for different inputs?

Back

Yes, a function can have the same output for different inputs.

Front

What is an example of a function?

Back

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

Front

What is an example of not a function?

Back

f(x) = ±√x is not a function because one input (x) can have two outputs (±√x).