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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

Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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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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