Function or Not?

Front

Which set of values is a function?

Back

(6,-5) (7, -3) (8, -1) (9, 1) - A function has unique outputs for each input.

Front

What is the definition of a function?

Back

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

Front

Is this graph a function or not a function?

Back

Function - A graph is a function if it passes the vertical line test.

Front

Is the relation a function? Why?

Back

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

Front

Which graph does NOT pass the vertical line test?

Back

Graph 1 - It fails the vertical line test, indicating it is not a function.

Front

What is the vertical line test?

Back

A method to determine if a graph represents a function; if a vertical line intersects the graph at more than one point, it is not a function.

Front

What are inputs and outputs in a function?

Back

Inputs are the x-values, and outputs are the corresponding y-values in 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, but each input must have only one output.

Front

What is an example of a function?

Back

f(x) = x + 2 is a function because each input x has a unique output.

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.