Question

Is this a function? Explain.
(-4, 8) , (-1, 2) , (2, -4), (5, -10)

Answer 1

Yes, it is a function.

Explanation:

Function is a mapping between two sets meaning we are creating a set of pairs where the first element of a pair comes from the first set and the second one from the second set. The first set is called function domain and the second one is called the set of function values.

There are two conditions that must be satisfied:

• every element of the domain must be paired with an element from the set of values
• each element of the domain can be paired with only one element from the set of values.

In our case the set: {-4, -1, 2, 5} would be our domain and the set: {8, 2, -4, 10} would be the set of values. We see that all elements of the domain have a pair and each of its element is paired with only one value (There are no pairs where for example -4 would be repeated as a first element).