AP Calculus BC 6.5 Interpreting the Behavior of Accumulation Functions Involving Area Questions

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

[Maximum number: 2]

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

Question 1