Consider the given function and the given interval. f(x) = (x − 4)2, [2, 5] (a) Find the average value fave of f on the given interval. fave = (b) Find c such that fave = f(c). c = (smaller value) c = (larger value)
Consider the given function and the given interval. f(x) = (x − 4)2, [2, 5] (a) Find the average value fave of f on the given interval. fave = (b) Find c such that fave = f(c). c = (smaller value) c = (larger value)
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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Consider the given function and the given interval.
f(x) = (x − 4)2, [2, 5]
(a) Find the average value fave of f on the given interval.
fave =
(b) Find c such that fave = f(c).
(c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f.
fave =
(b) Find c such that fave = f(c).
| c | = | (smaller value) |
| c | = | (larger value) |
(c) Sketch the graph of f and a rectangle whose area is the same as the area under the graph of f.
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