AP Calculus BC 6.5 Accumulation Functions Overview

Review accumulation functions by reading area graphs, differentiating accumulated quantities and locating extrema from rates.

Covered syllabus points

FUN-5.A—Represent accumulation functions using definite integrals—Topic 6.5

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Figure for Question 6.5 Interpreting the Behavior of Accumulation Functions Involving Area question 1 — AP Calculus BC

The figure above shows the graph of the piecewise-linear function f. For $-4 \leq x \leq 12$ , the function g is defined by $g(x)=\int_{2}^{x} f(t) d t$ .

For $-4 \leq x \leq 12$ , find all intervals for which $g(x) \leq 0$ .

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Covered syllabus points

6.5 Interpreting the Behavior of Accumulation Functions Involving Area question 1