Mathematics

Problem

![Graph of f'. The graph consists of two line segments and a semicircle. The line segment from (-5, 2) to (-3, 0) has a slope of -1. The semicircle is centered at the origin O, extending from x=-3 to x=3, with a radius of 3. The line segment from (3, 0) to (5, 2) has a slope of 1.](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260110T055645Z/414d9b23a716467b8c897439d779d2b6/b3459be722bb1ef785aa859e6f4ec7e4_img.jpg) The graph of

f'

, the derivative of a function

f

, consists of two line segments and a semicircle, as shown in the figure above. If

f(2) = 1

, then

f(-5) =

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