The graph of consists of two straight-line segments: one segment joins to and the…

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

The graph of q′′q'' consists of two straight-line segments: one segment joins (−2,4)(-2,4) to (2,−4)(2,-4) and the second joins (2,−4)(2,-4) to (6,2)(6,2). Within the domain −2≤x≤6-2\le x\le 6, determine every xx-value at which the graph of qq has a point of inflection, and specify the intervals on which qq is concave up and concave down.

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