Does this table represent a function ? why or why not

C. No, because one x value corresponds to two different y values.

Step-by-step explanation:

We are given a table having value of x and y such that it forms a function.

Now, we know that a 'function' is a mapping from domain to the co-domain such that every value of the domain is mapped to a unique value of the co-domain.

According to our table, we can see that corresponding to the point x = 5, there are two different values y = 2 and y = 5.

So, this table does not represents a function.

Hence, option C is correct.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3