Suppose that f(x) = 4x.(a)(b)What is the average rate of change of f(x) over each of the following intervals 4 to 5, 4 to 4.5, 4 and to 4.1?What is the (instantaneous) rate of change of f(x) when x= 4?(a) Which expression can be used to find the average rate of change of f(x) over the interval 4 to 5?f(5)-f'(4)O A.f(5)-f(4)f(5)-f(4)5-4OB.f'(5) - f'(4)f(5) + f(4)5+4OC.OD.5-4The average rate of change of f(x) over the interval 4 to 5 is.(Simplify your answer.)Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.5?f'(4.5) - f(4)f(4.5)-f(4)OB.O A.4.5-44.5-4f'(4.5) - f(4)f(4.5) – f(4)f(4.5)+ f(4)OD.OC.4.5+4The average rate of change of f(x) over the interval 4 to 4.5 is(Simplify your answer.)Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.1?f'(4.1) - f'(4)f(4.1)-f(4)A.4.1-4O B.f(4.1)- f(4)f'(4.1)-f(4)4.1-4OD.f(4.1)+f(4)4.1 +4OC.The average rate of change of f(x) over the interval 4 to 4.1/Simnlifu vur anewarClick to select your answer(s).e Type here to search (b)What is the (instantaneous) rate of change of f(x) when x = 4?MOwing intervals 4 to 5, 4 to 4.5, 4 and to 4.1?The average rate of change of f(x) over the interval 4 to 5 is(Simplify your answer.)Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.5?f(4.5)-f(4)O A.f'(4.5) - f'(4)4.5-44.5-4OB.f(4.5) + f(4)C.f(4.5)-f'(4)OD.f(4.5) - f(4)4.5+4The average rate of change of f(x) over the interval 4 to 4.5 is(Simplify your answer.)Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.1?f(4.1)-f(4)А.4.1-4f'(4.1) - f'(4)f(4.1) - f(4)OB.f(4.1) + f(4)OC.4.1+4f'(4.1) -f'(4)4.1-4OD.The average rate of change of f(x) over the interval 4 to 4.1(Simplify your answer.)(b) To compute the (instantaneous) rate of change of f(x) when x = 4, first compute f'(x).f'(x) =The (instantaneous) rate of change of f(x) when x =4 is(Simplify your answer.)Click to select your answer(s).e Type here to search

Answered: Image /qna-images/answer/544b7b1e-93bf-4dad-a5c7-9fe7c4941905.jpg

Suppose that f(x) = 4x (а) What is the average rate of change of f(x) over each of the following intervals 4 to 5, 4 to 4.5, 4 and to 4.1? (b) What is the (instantaneous) rate of change of f(x) when x= 4? (a) Which expression can be used to find the average rate of change of f(x) over the interval 4 to 5? f(5) - f(4) 5-4 f'(5)-f'(4) OA. OB. f(5)-f(4) f(5) + f(4) f'(5)-f'(4) OC. O D. 5-4 5+4 The average rate of change of f(x) over the interval 4 to 5 is (Simplify your answer.) Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.5? f(4.5) -f(4) f(4.5)-f(4) OB. OA. 4.5-4 4.5-4 f'(4.5)-f(4) f(4.5)+f(4) 4.5+4 OC. OD. f(4.5)-f(4) The average rate of change of f(x) over the interval 4 to 4.5 is (Simplify your answer.) Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.1? f(4.1) -f(4) f(4.1)-f(4) O B. f(4.1)- f(4) O A. 4.1-4 f(4.1)-f(4) OD. f(4.1)+f(4) 4.1+4 4.1-4 Oc. The average rate of change of f(x) over the interval 4 to 4.1 Simnlifu viur anear

Suppose that f(x) = 4x (а) What is the average rate of change of f(x) over each of the following intervals 4 to 5, 4 to 4.5, 4 and to 4.1? (b) What is the (instantaneous) rate of change of f(x) when x= 4? (a) Which expression can be used to find the average rate of change of f(x) over the interval 4 to 5? f(5) - f(4) 5-4 f'(5)-f'(4) OA. OB. f(5)-f(4) f(5) + f(4) f'(5)-f'(4) OC. O D. 5-4 5+4 The average rate of change of f(x) over the interval 4 to 5 is (Simplify your answer.) Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.5? f(4.5) -f(4) f(4.5)-f(4) OB. OA. 4.5-4 4.5-4 f'(4.5)-f(4) f(4.5)+f(4) 4.5+4 OC. OD. f(4.5)-f(4) The average rate of change of f(x) over the interval 4 to 4.5 is (Simplify your answer.) Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.1? f(4.1) -f(4) f(4.1)-f(4) O B. f(4.1)- f(4) O A. 4.1-4 f(4.1)-f(4) OD. f(4.1)+f(4) 4.1+4 4.1-4 Oc. The average rate of change of f(x) over the interval 4 to 4.1 Simnlifu viur anear

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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Exponential Growth Model

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Question

Suppose that f(x) = 4x.
(a)
(b)
What is the average rate of change of f(x) over each of the following intervals 4 to 5, 4 to 4.5, 4 and to 4.1?
What is the (instantaneous) rate of change of f(x) when x= 4?
(a) Which expression can be used to find the average rate of change of f(x) over the interval 4 to 5?
f(5)-f'(4)
O A.
f(5)-f(4)
f(5)-f(4)
5-4
OB.
f'(5) - f'(4)
f(5) + f(4)
5+4
OC.
OD.
5-4
The average rate of change of f(x) over the interval 4 to 5 is.
(Simplify your answer.)
Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.5?
f'(4.5) - f(4)
f(4.5)-f(4)
OB.
O A.
4.5-4
4.5-4
f'(4.5) - f(4)
f(4.5) – f(4)
f(4.5)+ f(4)
OD.
OC.
4.5+4
The average rate of change of f(x) over the interval 4 to 4.5 is
(Simplify your answer.)
Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.1?
f'(4.1) - f'(4)
f(4.1)-f(4)
A.
4.1-4
O B.
f(4.1)- f(4)
f'(4.1)-f(4)
4.1-4
OD.
f(4.1)+f(4)
4.1 +4
OC.
The average rate of change of f(x) over the interval 4 to 4.1
/Simnlifu vur anewar
Click to select your answer(s).
e Type here to search

(b)
What is the (instantaneous) rate of change of f(x) when x = 4?
MOwing intervals 4 to 5, 4 to 4.5, 4 and to 4.1?
The average rate of change of f(x) over the interval 4 to 5 is
(Simplify your answer.)
Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.5?
f(4.5)-f(4)
O A.
f'(4.5) - f'(4)
4.5-4
4.5-4
OB.
f(4.5) + f(4)
C.
f(4.5)-f'(4)
OD.
f(4.5) - f(4)
4.5+4
The average rate of change of f(x) over the interval 4 to 4.5 is
(Simplify your answer.)
Which expression can be used to find the average rate of change of f(x) over the interval 4 to 4.1?
f(4.1)-f(4)
А.
4.1-4
f'(4.1) - f'(4)
f(4.1) - f(4)
OB.
f(4.1) + f(4)
OC.
4.1+4
f'(4.1) -f'(4)
4.1-4
OD.
The average rate of change of f(x) over the interval 4 to 4.1
(Simplify your answer.)
(b) To compute the (instantaneous) rate of change of f(x) when x = 4, first compute f'(x).
f'(x) =
The (instantaneous) rate of change of f(x) when x =4 is
(Simplify your answer.)
Click to select your answer(s).
e Type here to search

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