Given f(x) = x² + 3x + 8, find the average rate of change of f(x) over each of the following pairs of intervals. (a) [1.9, 2] and [1.99, 2] average rate of change over [1.9, 2] average rate of change over [1.99, 2] (b) [2, 2.1] and [2, 2.01] average rate of change over [2, 2.1] average rate of change over [2, 2.01] (c) What do the calculations in parts (a) and (b) suggest the instantaneous rate of change of f(x) at x = 2 might be?
Given f(x) = x² + 3x + 8, find the average rate of change of f(x) over each of the following pairs of intervals. (a) [1.9, 2] and [1.99, 2] average rate of change over [1.9, 2] average rate of change over [1.99, 2] (b) [2, 2.1] and [2, 2.01] average rate of change over [2, 2.1] average rate of change over [2, 2.01] (c) What do the calculations in parts (a) and (b) suggest the instantaneous rate of change of f(x) at x = 2 might be?
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 8CR
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![Given f(x) x + 3x + 8, find the average rate of change of f(x) over each of the following pairs of intervals.
(a) [1.9, 2] and [1.99, 2]
average rate of change over [1.9, 2]
average rate of change over [1.99, 2]
(b) [2, 2.1] and [2, 2.01]
average rate of change over [2, 2.1]
average rate of change over [2, 2.01]
(c) What do the calculations in parts (a) and (b) suggest the instantaneous rate of change of f(x) at x = 2 might be?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ff8440f-6dd5-4342-97f8-29910448f243%2Ffed03cce-21d6-4d84-8915-95c73ffa8742%2Fdey5w1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Given f(x) x + 3x + 8, find the average rate of change of f(x) over each of the following pairs of intervals.
(a) [1.9, 2] and [1.99, 2]
average rate of change over [1.9, 2]
average rate of change over [1.99, 2]
(b) [2, 2.1] and [2, 2.01]
average rate of change over [2, 2.1]
average rate of change over [2, 2.01]
(c) What do the calculations in parts (a) and (b) suggest the instantaneous rate of change of f(x) at x = 2 might be?
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