Which of the graphs below represent y as a function of x?
(a)
(b)

A) only (a)
B) only (b)
C) neither (a) nor (b)
D) both (a) and (b)

Question

Which of the graphs below represent y as a function of x? ​
(a)
​  (b)
​  ​
A) only (a) 
B) only (b) 
C) neither (a) nor (b) 
D) both (a) and (b)

Quizplus · Accepted Answer

A function passes the vertical line test, which means that for every value of x, there is only one value of y. In graph (a), each vertical line intersects the graph at only one point, which means that it represents y as a function of x. In graph (b), there are points where a vertical line intersects the graph at multiple points, which means that it does not represent y as a function of x.

Which of the Graphs Below Represent Y as a Function