Function - Yes or No

Function - each input has exactly one output

Is this a function?

Function - passes the vertical line test

Is this a function?

Not a function - does not pass the vertical line test

Is this a function?

Not a function - there is an input (2) that goes to two different outputs (B and C).

Is this a function?

Not a function - there is an input (4) that goes to two different outputs (5 and -5).

Is this a function?

Is this relation a function? If not, explain why. (-3,-1) (-2,0) (-1,3) (-1,0) (0,-1)

No, this relation is not a function because the ordered pair (-1,3) and (-1,0) have the same input but different outputs.

Is this relation a function? If not, explain why. (-2,-2) (2,-1) (3,0) (5,3) (5,4)

No, this relation is not a function because the ordered pair (5,3) and (5,4) have the same input but different outputs.

graph of the function

The set of all points x, y that forms a graph in the xy-plane.

Is this relation a function? If not, explain why. (0,1) (1,2) (2,3) (3,4) (4,4)

Yes, this relation is a function because every input has exactly one output.

Is this relation a function? If not, explain why. (10,1) (11,6) (12,11) (13,16)(14,21)

Yes, this relation is a function because every input has exactly one output.

function

a relation in which for every input there is exactly one output (for every x there is just one y)

relation

any set of ordered pairs (x, y)

input

the first coordinate of an ordered pair in a relation (x,y)

output

the second coordinate of an ordered pair in a relation (y in x, y)