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3. Which has a greater average rate of change over the interval -2 sx54, the function g(x) 16x -3 or the function f(x) = 2x?? Provide justification for your answer. %3D

3. Which has a greater average rate of change over the interval -2 sx54, the function g(x) 16x -3 or the function f(x) = 2x?? Provide justification for your answer. %3D

Calculus: Early Transcendentals
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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3. Which has a greater average rate of change over the interval -2 <x54, the function g(x)= 16x-3 or the function f(x) = 2x?? Provide justification for your answer. APPLICATIONS 4. An object travels such that its distance, d, away from its starting point is shown as a function of time, t, in seconds, in the graph below. (a) What is the average rate of change of d over the interval 5s1s7? Include proper units in your (A 70) (11 64) answer. (7 64 (b) The average rate of change of distance over time (what you found in part (a)) is known as the average speed of an object. Is the average speed of this object greater on the interval OSI55 or 11<IS14? Justify. (5 20) Time (seconds) REASONING 5. What makes the average rate of change of a linear function different from that of any other function? What is the special name that we give to the average rate of change of a linear function? Distance (feet)
Transcribed Image Text:3. Which has a greater average rate of change over the interval -2 <x54, the function g(x)= 16x-3 or the function f(x) = 2x?? Provide justification for your answer. APPLICATIONS 4. An object travels such that its distance, d, away from its starting point is shown as a function of time, t, in seconds, in the graph below. (a) What is the average rate of change of d over the interval 5s1s7? Include proper units in your (A 70) (11 64) answer. (7 64 (b) The average rate of change of distance over time (what you found in part (a)) is known as the average speed of an object. Is the average speed of this object greater on the interval OSI55 or 11<IS14? Justify. (5 20) Time (seconds) REASONING 5. What makes the average rate of change of a linear function different from that of any other function? What is the special name that we give to the average rate of change of a linear function? Distance (feet)
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