determine whether the following relation is a function {(3,7),(3,8),(3,-2),(3,4),(3,1)}
A. It is a function because the ordered pairs all have the same value.
B. It is not a function because there are multiple y values paired with a single x value.
C. it is a function because none of the ordered pairs have the same y value.
D. It is not a function because none of the ordered pairs have the same y value

Question

determine whether the following relation is a function {(3,7),(3,8),(3,-2),(3,4),(3,1)}  
A. It is a function because the ordered pairs all have the same value.
B. It is not a function because there are multiple y values paired with a single x value. 
C. it is a function because none of the ordered pairs have the same y value.
D. It is not a function because none of the ordered pairs have the same y value

anonymous · Answer

The answer is B. In order for a graph to be a function, a vertical line test must be made. If you were to draw a vertical line anywhere in the graph, and if more than one point touched it, this means that there is NO function. If you were to draw a vertical line at x=3, more than one point would ''touch'' the line. Therefore, it is NOT a function. There are too many y-values for a single x-value (3);because of this, B is the right answer.  :D