Maths Olympiad Prep

Library / CEMC Euclid /161 of 224

CEMC Euclid, 2005

Algebra Difficulty 3.0 AMC 10/12 Prove it Canada

A function is defined by
f(x)={4if x<−4−xif −4≤x≤5−5if 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.

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