Final answer:
When x = 4, the function f(x)=2x^8 results in a value of 131072, which is far greater than the y-value of 14 provided at x = 4 in the given table.
Step-by-step explanation:
To compare the value of the function f(x)=2x^8 to the given table when x = 4, we first need to calculate the value of f(4). The function f(x) is clearly exponential, meaning the value will be quite large when plugging in x = 4. Let's do the math:
f(4) = 2 * (4^8) = 2 * 65536 = 131072
Now, we look at the given table, which contains the point (4,14). This represents a linear relation between x and y, where y = 14 when x = 4. Thus, when x = 4, the table provides a y-value of 14, which is much smaller than 131072.
In conclusion, the function f(x)=2x^8 has a much greater value than the relation given in the table when x = 4.