dancergirl45
  • dancergirl45
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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dancergirl45
  • dancergirl45
@jango_IN_DTOWN
jango_IN_DTOWN
  • jango_IN_DTOWN
Is it 4(2)x ????
dancergirl45
  • dancergirl45
no it is hold on i will change it

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dancergirl45
  • dancergirl45
ok
jango_IN_DTOWN
  • jango_IN_DTOWN
ok \[4.2^{x}\]
jango_IN_DTOWN
  • jango_IN_DTOWN
right??
jango_IN_DTOWN
  • jango_IN_DTOWN
average rate of change of f from x=a to x=b is \[\frac{ f(b)-f(a) }{ b-a }\]
dancergirl45
  • dancergirl45
\[4(2)^{x}\]
jango_IN_DTOWN
  • jango_IN_DTOWN
now for section A put b=2, a=1 in the above formula and tell me the answer
dancergirl45
  • dancergirl45
wait what is f
jango_IN_DTOWN
  • jango_IN_DTOWN
f(x)=given fuction
dancergirl45
  • dancergirl45
so 1/1=1
jango_IN_DTOWN
  • jango_IN_DTOWN
no why 1/1 ????
dancergirl45
  • dancergirl45
well 2-1=1
jango_IN_DTOWN
  • jango_IN_DTOWN
\[f(x)=4.2^{x}\]
dancergirl45
  • dancergirl45
oh 7.4
jango_IN_DTOWN
  • jango_IN_DTOWN
|dw:1447435673001:dw|
dancergirl45
  • dancergirl45
4.2^ -- 1
jango_IN_DTOWN
  • jango_IN_DTOWN
=8
jango_IN_DTOWN
  • jango_IN_DTOWN
right??
dancergirl45
  • dancergirl45
yes
jango_IN_DTOWN
  • jango_IN_DTOWN
now for section B put b=4 and a=3 and tell me the answer
dancergirl45
  • dancergirl45
3.2/1
jango_IN_DTOWN
  • jango_IN_DTOWN
no
dancergirl45
  • dancergirl45
oh wait sorry
jango_IN_DTOWN
  • jango_IN_DTOWN
|dw:1447435930347:dw|
dancergirl45
  • dancergirl45
4.2^1 -- 1
jango_IN_DTOWN
  • jango_IN_DTOWN
4(16-8)=4*8=32
jango_IN_DTOWN
  • jango_IN_DTOWN
2^4=16 and 2^3=8
dancergirl45
  • dancergirl45
so that is part a
dancergirl45
  • dancergirl45
right
jango_IN_DTOWN
  • jango_IN_DTOWN
yeah for section A we got 8 and for section B we got 32
jango_IN_DTOWN
  • jango_IN_DTOWN
now part B
dancergirl45
  • dancergirl45
ok
dancergirl45
  • dancergirl45
so it would be 4 right
jango_IN_DTOWN
  • jango_IN_DTOWN
correct 32/8=4
jango_IN_DTOWN
  • jango_IN_DTOWN
one rate is greater than the other is because of the term 2^x present in the expression of f(x)
dancergirl45
  • dancergirl45
Ok thank you so much again for your help you are a life saver
jango_IN_DTOWN
  • jango_IN_DTOWN
:)

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