(1,1) (2,8) (3,27) (4,64) (5,125)
What rule represents this function?
The rule that represents this function is f(x) = x^3
The given set of points represents a function where the x-coordinate is raised to the power of 3 to get the corresponding y-coordinate. So, the rule that represents this function is y = x^3.
To determine the rule that represents the given set of points, we need to look for a pattern or relationship between the x-values and y-values. In this case, we can observe that the y-values are obtained by raising the corresponding x-values to the power of 3.
To generalize this observation and represent the rule in functional form, we can say that the function is defined as y equals x cubed. Therefore, the rule that represents this function is:
f(x) = x^3