Express the following functions as set of ordered pairs and determine their range. f: X → R, f (x) = x3 + 1, where X = {–1, 0, 3, 9, 7}

Solution:

Provided that,

A function , in which

Domain is a function such that the first elements of all the ordered pair belong to the set .

The second element of all the ordered pair are such that they satisfy the condition

When

ordered pair

When

ordered pair

When

ordered pair

When

ordered pair

When

ordered pair

As a result, the provided function as a set of ordered pairs is

And,

Range of