Maths Olympiad Prep

Library / /128 of 176

, 2005

Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

A function is defined by
f(x)={4if x<4xif 4x55if x>5f(x) = \begin{cases} 4 & \text{if } x < -4 \\ -x & \text{if } -4 \le x \le 5 \\ -5 & \text{if } x > 5 \end{cases}
On the grid in the answer booklet, sketch the graph g(x)=25[f(x)]2g(x) = \sqrt{25 - [f(x)]^2}. State the shape of each portion of the graph.

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.