Express Function as Set of Ordered Pairs
Question:
Express the function
$$
f:X\to\mathbb{R}
$$
given by
$$
f(x)=x^3+1
$$
as a set of ordered pairs, where
$$
X=\{-1,0,3,9,7\}
$$
Solution
Given: $$ f(x)=x^3+1 $$
Find the value of \(f(x)\) for each element of \(X\).
| \(x\) | \(f(x)=x^3+1\) |
|---|---|
| \(-1\) | \((-1)^3+1=0\) |
| \(0\) | \(0^3+1=1\) |
| \(3\) | \(3^3+1=28\) |
| \(9\) | \(9^3+1=730\) |
| \(7\) | \(7^3+1=344\) |
Therefore, the function as a set of ordered pairs is:
$$ \{(-1,0),(0,1),(3,28),(9,730),(7,344)\} $$