SOLUTION: Please disregard this previous question I submitted. Thank you for your help. I am to recall that, when interest is compounded continuously, the balance in an account after t ye

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Question 145308: Please disregard this previous question I submitted. Thank you for your help.
I am to recall that, when interest is compounded continuously, the balance in an account after t years is given by
A = Pe^rt,
where P is the initial investment and r is the interest rate.
Evaluate each of the functions below at x = 1, 2, 4, 8, and 16. Plot the graph of each function. Classify each as linear, quadratic, polynomial, exponential, or logarithmic, and explain the reasons for your classifications. Compare how quickly each function increases, based on the evaluations and graphs, and rank the functions from fastest to slowest growing.
- f(x) = x3 - 3x2 - 2x + 1
- f(x) = ex
- f(x) = 3x - 2
- f(x) = log x
- f(x) = x2 - 5x + 6

Answer by jim_thompson5910(28549) (Show Source):
You can put this solution on YOUR website!

f(1)=-3, f(2)=-7, f(4)=9, f(8)=305, f(16)=3,297

Graph:

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:

f(1)=2.71828, f(2)=7.38906, f(4)=54.59815, f(8)=2980.9579, f(16)=8886110.5205

Graph:

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f(x) = 3x - 2 :
f(1)=1, f(2)=4, f(4)=10, f(8)=22, f(16)=46

Graph:

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f(x)=log(x):

f(1)=0, f(2)=0.30103, f(4)=0.60206, f(8)=0.90309, f(16)=1.20412

Graph:

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f(x) = x^2 - 5x + 6:
f(1)=2, f(2)=0, f(4)=2, f(8)=30, f(16)=182

Graph:

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Rank from fastest growing to slowest growing:

1)
2)
3)
4)
5)