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Topic 6.5 · Interpreting the Behavior of Accumulation Functions Involving Area

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AP Calculus AB · Topic 6.5: Interpreting the Behavior of Accumulation Functions Involving AreaOpen topic

Practice question

Original PrepAtlas question. This is not an official College Board question.

For the continuous f graphed below, let g(x)=∫ from 0 to x of f(t) dt. At which interior input does g have a relative maximum?
Graph of fThe graph is f, not its accumulation g. Straight segments join (0,−2), (2,2), (4,2) and (6,−2). The zeros of f are 1 and 5. The graph is positive between those zeros.123456-2-1123xy0
Hollow dots exclude a point; filled dots show its assigned value.
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