Library / /374 of 472

, 2002

Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

The function $f(x)$ has the property that $f(x+y) = f(x) + f(y) + 2xy$ , for all positive integers $x$ and $y$ . If $f(1) = 4$ , then the numerical value of $f(8)$ is

(A) $72$ (B) $84$ (C) $88$ (D) $64$ (E) $80$

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.