Let f be defined as follows.   y = f(x) = x2 − 11x   (a) Find the average rate of change of y with respect to x in the following intervals. from x = 6 to x = 7     from x = 6 to x = 6.5     from x = 6 to x = 6.1     (b) Find the (instantaneous) rate of change of y at x = 6.

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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Let f be defined as follows.
 
y = f(x) = x2 − 11x
 
(a)
Find the average rate of change of y with respect to x in the following intervals.
from x = 6 to x = 7     from x = 6 to x = 6.5     from x = 6 to x = 6.1    
(b)
Find the (instantaneous) rate of change of y at x = 6.
 
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