Compare the two functions in the table. Will the value of function y = 2x eventually exceed the value of function y = x10?

First we rewrite the functions:
 y = 2x
 y = x ^ 10
We note that the second function always has values of y greater than the first function. However, there is a value of x for which the first function is greater.
 For x = 1 we have:
 y = 2 (1) = 2
 y = (1) ^ 10 = 1
 We note that:
 2> 1
 Answer: 
 Yes, the value of function y = 2x eventually exceed the value of function y = x ^ 10.