(a) Let f(x) = x² + 1. Compute f(0), ƒ(-1), f(1/2), and f(√2).
(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) = 2ƒf(x)?

Problem 2
The cost of producing x units of a commodity is given by C(x) = 1000 + 300x + x².
(a) Compute C(0), C(100), and C(101) - C(100).
(b) Compute C(x + 1) - C(x), and explain in words the meaning of the difference.