Does this table represent a function? why or why not ? a. yes, because the x-value are positive numbers b. yes, because every x-value corresponds to exactly one y-value c. no, because each x-value is different d. no, because none of the y-values are the same

B

Step-by-step explanation:

Well, since according to the definition a function f is a relation that associates each element of one set, namely A to members of another set namely B. Just like the picture below.

As we check the table let's deal with the options

A. Yes, because the x-value are positive numbers False

Wrong! We can have on the Domain negative x-values

B. Yes, because every x-value corresponds to exactly one y-value True

This goes exactly like what's been discussed on top, the definition.

C. No, because each x-value is different False

Every function has different x-values

D. No, because none of the y-values are the same False

A Constant function all values for y are the same. A linear function has different values for y and both are functions.