<p>Say if you had a function f(x+y)=f(x)+f(y), and then you were given 3 choices(the I, II, III questions) where a=b, which ask a variety of things like f(b)+f(b)=f(2a). Not paying attention to this question in particular, do you guys always deem it best to try your best to come up with your own #s? What if it’s a hard question that is very hard to pick #s for? I could pick 0 and 0 for X and Y, or 1 and 1 for X and Y, or 1 and 0 for X and Y, but these can always lead into traps. </p>
<p>The time limit does get to you no matter what, but is picking your own #s still better than doing it algebraically usually? Basically, would your first approach to a hard question with little time left be to spend time trying to come up with an example(which can be time consuming at times), and if you try to look at it algebraically, how long would you look at it(logically) before you think you’ve wasted too much time and that it’s time to either pick your own # or go back and check your work.</p>