safyousuff97
  • safyousuff97
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3. Part A: Find the average rate of change of each section. (4 points) 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. (6 points)
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  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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safyousuff97
  • safyousuff97
@baru
baru
  • baru
average rate of change= change in f(x) / change in x
baru
  • baru
lets find the average rate of change for section A. if we go from x=0 to x=1, how much has x changed?

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safyousuff97
  • safyousuff97
1
baru
  • baru
yes, so 1 is the denominator in the formula for average rate of change now we need to find how much f(x) changes when we go from x=0 to x=1 to do that find f(x) at x=0 and find f(x) at x=1 what do you get?
safyousuff97
  • safyousuff97
i'm not sure
baru
  • baru
just substitute x=0 and x=1 in f(x)
baru
  • baru
when x=0 f(x)=2(3)0=?
baru
  • baru
are you sure you have written the quesiton correctly? f(x)=2(3)x specifically the (3) part?
safyousuff97
  • safyousuff97
i mean \[f(3)^{x}\]
safyousuff97
  • safyousuff97
wait one sec
baru
  • baru
i dont get you... can you type the whole question
safyousuff97
  • safyousuff97
\[f(x)=2(3)^{x}\]
baru
  • baru
ok, can you find f(x) when x=0?
safyousuff97
  • safyousuff97
no
safyousuff97
  • safyousuff97
coz it 0
baru
  • baru
any number raised to the power 0, is 1
baru
  • baru
can you find f(x) when x=0 now?
safyousuff97
  • safyousuff97
yes bcoz it will be 1 no right?
safyousuff97
  • safyousuff97
*now
baru
  • baru
yes, so f(x)=?
baru
  • baru
\[f(x)=2(3)^{0}=?\]
safyousuff97
  • safyousuff97
3
baru
  • baru
\(3^0\)=1
baru
  • baru
how did you get 3?

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