3. Recall rate of change discussion from previous week. How when applied to the function f(x) = x², we found the average rate of change in the interval [a, a + h] to be 2a + h. Then we said that as h → 0, it represents the slope of the tangent line. In limit language this means that for f (x) = x², the limit: f(a + h) – f(a) = 2a limp→0 h Perform the same analysis for function g(x) 1 Comment on how it is similar and/or different.
3. Recall rate of change discussion from previous week. How when applied to the function f(x) = x², we found the average rate of change in the interval [a, a + h] to be 2a + h. Then we said that as h → 0, it represents the slope of the tangent line. In limit language this means that for f (x) = x², the limit: f(a + h) – f(a) = 2a limp→0 h Perform the same analysis for function g(x) 1 Comment on how it is similar and/or different.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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![3. Recall rate of change discussion from previous week. How when applied to the
function f(x) = x², we found the average rate of change in the interval [a, a + h]
to be 2a + h. Then we said that as h → 0, it represents the slope of the tangent
line. In limit language this means that for f(x) = x², the limit:
f(a + h) – f(a)
= 2a
limh→0
h
Perform the same analysis for function g(x)
1
Comment on how it is similar
and/or different.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fad085486-1c8d-4af4-909e-e849e081a515%2F360d0c1c-a7c3-4751-9cea-3df36b12168c%2Fd2ql70m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:3. Recall rate of change discussion from previous week. How when applied to the
function f(x) = x², we found the average rate of change in the interval [a, a + h]
to be 2a + h. Then we said that as h → 0, it represents the slope of the tangent
line. In limit language this means that for f(x) = x², the limit:
f(a + h) – f(a)
= 2a
limh→0
h
Perform the same analysis for function g(x)
1
Comment on how it is similar
and/or different.
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