Question

Does this table represent a function? why or why not? x: 2 3 3 4 5 y: 1 4 3 2 5

a. no, because one y value corresponds to two different v values
b. yes, because every x value corresponds to exactly one y value
c. no, because the y values are positive
d. yes, because there are different y values

Answer 1

Let's put the chart into ordered pairs:
(x, y)
(2,1)
(3,4)
(3,3)
(4,2)
(5,5)

In bold, we see that there are two y-values at x=3. This means that this relation fails the vertical line test (two points on the same verticle line). This is not a function.

The answer options may be mis-written.
The answer is no, because one x value corresponds to more than one y-value.