Let Sketch the region R under the graph of f on the interval [0, 2] and find its exact area using geometry.

Name: Let Sketch the region R under the graph of f on the interval [0, 2] and find its exact area using geometry.
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Question

Let  ​ Sketch the region R under the graph of f on the interval [0, 2] and find its exact area using geometry.
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Quizplus · Accepted Answer

The region R is a trapezoid with height 1 and bases of length 2 and 4. Therefore, its area is (1/2)(2+4)(1) = 3 units squared. The only choice that matches this exact area is D, so it is the best choice.

Let ​ Sketch the Region R Under the Graph

Let Sketch the Region R Under the Graph