If f(x) = sin(x), which of the functions or theorems describes the average rate of change of f(x) over the interval [0, 2]? O The Mean Value Theorem: Average rate of change is sin(2)-sin(0) 2-0 O The Mean Value Theorem: Average rate of change is cos(2)-cos(0) 2-0 The average value function: Average rate of change is The average value function: Average rate of change is sin(x) dx ² sin(x) dx

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 17CT
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If f(x) = sin(x), which of the functions or theorems describes the average rate of change of f(x) over the interval [0, 2]?
The Mean Value Theorem: Average rate of change is
sin(2)-sin(0)
2-0
The Mean Value Theorem: Average rate of change is
cos(2)-cos(0)
2-0
The average value function: Average rate of change is f² sin(x) dx
○ The average value function: Average rate of change is 2² sin(x) dx
2-0
I
Transcribed Image Text:If f(x) = sin(x), which of the functions or theorems describes the average rate of change of f(x) over the interval [0, 2]? The Mean Value Theorem: Average rate of change is sin(2)-sin(0) 2-0 The Mean Value Theorem: Average rate of change is cos(2)-cos(0) 2-0 The average value function: Average rate of change is f² sin(x) dx ○ The average value function: Average rate of change is 2² sin(x) dx 2-0 I
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