Given:
The relation is
[tex]Q=\{(x,y):(2,8),(3,27),(4,27),(5,125),...\}[/tex]
To find:
The equation for the given relation.
Solution:
(2,8) is an ordered pair of given relation. So, y=8 at x=2.
[tex]8=2\times 2\times 2[/tex]
[tex]8=2^3[/tex]
Similar,
[tex]27=3^3[/tex]
[tex]64=4^3[/tex]
[tex]125=5^3[/tex]
It means, y-values are cube of x-values. So,
[tex]y=x^3[/tex]
Therefore, the required equation for the relation is [tex]y=x^3[/tex].
