AP Calculus AB 6.1 Exploring Accumulations of Change Questions

Review AP Calculus AB 6.1 by reading signed areas under rate graphs as accumulated change and connecting those areas to an initial quantity.

Exam points

interpret area under a rate graph as accumulated change in context
track units, sign and initial value when accumulating a rate

Covered syllabus points

CHA-4.A—Interpret the meaning of areas associated with the graph of a rate of change in context

[Maximum number: 1]

The graph of the function f shown above consists of two line segments and a semicircle. Let g be defined by $g(x)=\int_{0}^{x} f(t) d t$ . What is the value of g(5) ?

$-1.5+2 \pi$

$2 \pi$

$1.5+2 \pi$

$4.5+2 \pi$

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Covered syllabus points

Question 1