Problems 1. (a) Let f (x) = x2 + 1. Compute f (0), f (-1), f (1/2), and f (V2). (b) For what values of x is it true that (i) f (x) = f (-x)? (ii) f (x + 1) = f(x)+f(1)? (iii) f (2x) = 2f (x)? 2. Let f (t) = a2 - (t - a), where a is a constant. (a) Compute f(0), f(a), f(-a), and f(2a). (b) Compute 3f(a) + f (-2a). 3. Find the domain and the range of g(x) = 1 - Vx + 2