Let f be defined as follows. y = f(x) = x² - 3x (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.

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...
Question

E6

Let f be defined as follows.
y = f(x) = x² - 3x
(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.
Transcribed Image Text:Let f be defined as follows. y = f(x) = x² - 3x (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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