Given:
Different relations in the options.
To find:
The relation which is a function.
Solution:
A relation is a function if there exist unique output for each input value. In other words, there exist only one y-value for each x value.
In option A, [tex]y=0,1, 2, 3[/tex] for [tex]x=4[/tex]. So, this relation is not a function.
In option B, [tex]y=8, 10[/tex] for [tex]x=10[/tex]. So, this relation is not a function.
In option C, [tex]y=6, -2[/tex] for [tex]x=-2[/tex]. So, this relation is not a function.
In option D, all x-values are different. So, their exist unique output for each input value. It means this relation is a function.
Therefore, the correct option is D.
