The area trapped by a linear function on an interval [a,b] has the shape of a right trapezoid. An example of this kind of shape is shown here. The two parallel sides are labeled by L1, L2. () . L+L2 The area for the trapezoid is the average of the parallel lengths, times the width. That is: A = • w . Consider a different linear function, h (x) = 6+ 2x , on [1,5]. Use the trapezoid approach to find the trapped area. First, sketch h (x) = 6 + 2x, on [1,5]. Then, find the area of the trapezoid formed by h (x) on [1,5].

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 7E
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The area trapped by a linear function on an interval [a,b] has the shape of a right trapezoid. An example of this kind of shape is shown
here. The two parallel sides are labeled by L1, L2.
().
L1+L2
The area for the trapezoid is the average of the parallel lengths, times the width. That is: A =
· W .
2
Consider a different linear function, h (x) = 6 + 2x , on [1,5]. Use the trapezoid approach to find the trapped area.
First, sketch h (x) = 6 + 2x, on [1,5].
Then, find the area of the trapezoid formed by h (x) on [1,5].
Transcribed Image Text:The area trapped by a linear function on an interval [a,b] has the shape of a right trapezoid. An example of this kind of shape is shown here. The two parallel sides are labeled by L1, L2. (). L1+L2 The area for the trapezoid is the average of the parallel lengths, times the width. That is: A = · W . 2 Consider a different linear function, h (x) = 6 + 2x , on [1,5]. Use the trapezoid approach to find the trapped area. First, sketch h (x) = 6 + 2x, on [1,5]. Then, find the area of the trapezoid formed by h (x) on [1,5].
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