when interest is compounded continuously, the balance in an account after t years is given by
A = Pert,
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.

Question

when interest is compounded continuously, the balance in an account after t years is given by 
A = Pert,
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.