Final answer:
The value of f(1) is 337.
Step-by-step explanation:
To evaluate f(1) without using a calculator, we substitute the value of x into the function f(x) = 2(13)^2 - x.
So, f(1) = 2(13)^2 - 1
= 2(169) - 1
= 338 - 1
= 337.
Therefore, the value of f(1) is 337.