Sure! Let's go through the table step-by-step and create the ordered pairs according to the given data.
We start with the function [tex]\( f(n) = 6n - 1 \)[/tex] and the values of [tex]\( n \)[/tex] provided.
1. When [tex]\( n = 1 \)[/tex]:
[tex]\[
f(1) = 6 \times 1 - 1 = 6 - 1 = 5
\][/tex]
So, the ordered pair is [tex]\( (1, 5) \)[/tex].
2. When [tex]\( n = 2 \)[/tex]:
[tex]\[
f(2) = 6 \times 2 - 1 = 12 - 1 = 11
\][/tex]
So, the ordered pair is [tex]\( (2, 11) \)[/tex].
3. When [tex]\( n = 3 \)[/tex]:
[tex]\[
f(3) = 6 \times 3 - 1 = 18 - 1 = 17
\][/tex]
So, the ordered pair is [tex]\( (3, 17) \)[/tex].
4. When [tex]\( n = 4 \)[/tex]:
[tex]\[
f(4) = 6 \times 4 - 1 = 24 - 1 = 23
\][/tex]
So, the ordered pair is [tex]\( (4, 23) \)[/tex].
Thus, using the given values of [tex]\( n \)[/tex] and the function [tex]\( f(n) \)[/tex], we can create the following ordered pairs:
[tex]\[
\boxed{(1, 5), (2, 11), (3, 17), (4, 23)}
\][/tex]
These ordered pairs represent the inputs ([tex]\( n \)[/tex]) and their corresponding outputs ([tex]\( f(n) \)[/tex]) for the function [tex]\( f(n) = 6n - 1 \)[/tex].
