Let f(x) = 4x Sketch the region R under the graph of f on the interval [0, 2] and find its exact area using geometry.
A) 10 sq units;
B) 8 sq units;
C) 8 sq units;
D) 10 sq units;

Question

Let f(x) = 4x Sketch the region R under the graph of f on the interval [0, 2] and find its exact area using geometry.
A) 10 sq units; 
B) 8 sq units; 
C) 8 sq units; 
D) 10 sq units;

Quizplus · Accepted Answer

The region R is a trapezoid with base 2 and height 4. Its exact area can be found using the formula:
Area = (1/2) * (sum of bases) * height
Area = (1/2) * (2 + 0) * 4
Area = 8

Let F(x) = 4x Sketch the Region R Under the Graph