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For the function f(x) given in the table, find the average Pate of change over each specified interval. 2 2.5 3.8 4 x) 23 20 19 16 15 30 (a) [2, 5] (b) [3.8, 4] 24

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 32SE: For the following exercises, find the average rate of change of each function on the interval...

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Concept explainers

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus.

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.

Question

For the function f(x) given in the table, find the average Pate of change over each specified interval.
2
2.5
3
3.8 4 5
(x)
23
20
24
19
16
15 30
(a) [2, 5]
(b) [3.8, 4]

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