Given the function f(x) = 4(2)^x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other
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OpenStudy (dancergirl45):
@jango_IN_DTOWN
OpenStudy (jango_in_dtown):
Is it 4(2)x ????
OpenStudy (dancergirl45):
no it is hold on i will change it
OpenStudy (dancergirl45):
ok
OpenStudy (jango_in_dtown):
ok
\[4.2^{x}\]
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OpenStudy (jango_in_dtown):
right??
OpenStudy (jango_in_dtown):
average rate of change of f from x=a to x=b is
\[\frac{ f(b)-f(a) }{ b-a }\]
OpenStudy (dancergirl45):
\[4(2)^{x}\]
OpenStudy (jango_in_dtown):
now for section A put b=2, a=1 in the above formula and tell me the answer
OpenStudy (dancergirl45):
wait what is f
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OpenStudy (jango_in_dtown):
f(x)=given fuction
OpenStudy (dancergirl45):
so 1/1=1
OpenStudy (jango_in_dtown):
no why 1/1 ????
OpenStudy (dancergirl45):
well 2-1=1
OpenStudy (jango_in_dtown):
\[f(x)=4.2^{x}\]
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OpenStudy (dancergirl45):
oh 7.4
OpenStudy (jango_in_dtown):
|dw:1447435673001:dw|
OpenStudy (dancergirl45):
4.2^
--
1
OpenStudy (jango_in_dtown):
=8
OpenStudy (jango_in_dtown):
right??
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OpenStudy (dancergirl45):
yes
OpenStudy (jango_in_dtown):
now for section B put b=4 and a=3 and tell me the answer