AP Calculus AB 6.1 Accumulations of Change Question Bank

Practise accumulation questions by interpreting areas under a rate graph as accumulated change in context.

Exam points

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

[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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CHA-4.A—Interpret the meaning of areas associated with the graph of a rate of change in context question 1