SOLUTION: How can you determine weather a graph is linear and if its a function

Question 692560: How can you determine weather a graph is linear and if its a function
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
If you are given the graph on an x-y plane, and a vertical straight line touches more than 1 point of the graph, y is not a function of x.

If you are given the graph on an x-y plane, and no vertical straight line touches more than 1 point of the graph, y is a function of x.

If you are given the graph on an x-y plane, and it is a straight line that is not vertical, y is a linear function of x.

If you are given some sort of definition of an x-y relation, but not the graph, it is a bit more complicated.
If more than one y is assigned to the same x, as in , y is not a function of x.
If there is no more than one value of y assigned to each x, as in or , y is a function of x.
If the relation can be expressed in the form with some constants and , y is a linear function of x.
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