(b) The graph of a function with the following three properties: The average rate of change of f on [0,2] is 3, the average rate of change of f on [0,1] is -1, and the average rate of change of f on [-2,2] is 0. (c) The graph of a function f with the following three properties: The instantaneous rate of change of fat x = 2 is zero, the average rate of change of f on [1,2] is 2, and the average rate of change of fon is 1. on [2, 4] Fynlai

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Part B specifically. Part C would be helpful.

2. Examples: Construct examples of the thing(s) described in
the following. Try to find examples that are different than
any in the reading.
(a) The graph of a function whose associated slope func-
tion f' is positive on (-∞, 2) and negative on (2, ∞).
(b) The graph of a function with the following three
properties: The average rate of change of f on [0,2]
is 3, the average rate of change of f on [0,1] is
-1, and the average rate of change of f on [-2,2]
is 0.
(c) The graph of a function f with the following three
properties: The instantaneous rate of change of fat
is 2, and the average rate of change of f on [2, 4]
is 1.
3. Explain why it in
Transcribed Image Text:2. Examples: Construct examples of the thing(s) described in the following. Try to find examples that are different than any in the reading. (a) The graph of a function whose associated slope func- tion f' is positive on (-∞, 2) and negative on (2, ∞). (b) The graph of a function with the following three properties: The average rate of change of f on [0,2] is 3, the average rate of change of f on [0,1] is -1, and the average rate of change of f on [-2,2] is 0. (c) The graph of a function f with the following three properties: The instantaneous rate of change of fat is 2, and the average rate of change of f on [2, 4] is 1. 3. Explain why it in
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