1. The problem statement, all variables and given/known data Show that the equation e^x = x + 2 had exactly two solutions. Explain your reasoning. 2. Relevant equations Okay so I guess I'm using the intermediate value theorum and proving that f(a)f(b) < 0 we can find a c and d such that f(c) = 0 and f(d) = 0 so that by collorary it's true. This is an issue because I don't have boundaries for my function... 3. The attempt at a solution create a function: f(x) = e^x - x - 2 and that's about as far as I got. I'm assuming I arbitarily select an interval and use that? Are there rule that I should follow though?