Question

Does the table represent a function?

Answer 1

Yes, the table represents a function.

None of the independent (x) values are repeated and each one has a corresponding (y) value.

If you had a repeated (x) value in the table, it would not represent a function.

Answer 2

The table represents a function

Explanation:

a function is a map from non-empty set A to a non-empty set B such that every element of A is mapped to a unique element of B.

As we can see from the table that corresponding to every x, there exist a unique image y

(f(-2)=7

f(-1)=4

f(0)=3

f(1)=4

f(2)=7)

Hence, The table represents a function.