AP Calculus BC Fun 5 A Represent Accumulation Functions Using Definite Integrals Topic 6 5 Questions

Practice AP Calculus BC questions on using graphical, numerical, and analytical information to interpret an accumulation function.

Syllabus
Effective Fall 2025
Course
AP Calculus BC

AP Calculus BC Fun 5 A Represent Accumulation Functions Using Definite Integrals Topic 6 5 Questions question 1

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Figure for Question AP Calculus BC Fun 5 A Represent Accumulation Functions Using Definite Integrals Topic 6 5 Questions question 1 — AP Calculus BC

The figure above shows the graph of the piecewise-linear function f. For 4x12-4 \leq x \leq 12, the function g is defined by g(x)=2xf(t)dtg(x)=\int_{2}^{x} f(t) d t.

For 4x12-4 \leq x \leq 12, find all intervals for which g(x)0g(x) \leq 0.

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