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Math Help - 3 problems please help

  1. #1
    key
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    3 problems please help

    Hi. I am trying to help out my little brother with these 3 problems. I can't do it though and it's graded and the teacher won't help hhim. Can someone please help us. This is due towmorrow and I am really bad at math.

    1.
    a) Let f(x) = 2x Find the first differences between the values of f for x= 0,1,2,3,4, and 5. Write a formula that gives the difference between f(x+1) and f(x) in terms of x.
    b) Repeat part (a) but use function g(x)=3x
    c) Repeat part (a) but use the function h(x) = 5x
    d) Make a conjecture for a general formula that gives the difference between f(x+1) and f(x) for the function k(x) = ax , for a > 1.
    2. The average growth rate of exponential function f(x) on an interval a≤x≤b is f(b) – f(a)
    b-a
    The instantaneous growth rate at a is the number that this fraction approaches (if any) as b → a. Let f(x)=3x, and let b=a+h. Write the instantaneous growth rate at a as the product of 3a and a function of h (that does not involve a). Use a calculator to estimate the number this second factor approaches as h → 0.

    3. Let f(x) =bx . For a fixed positive integer n, let g(x)= [f(x)]n , and let h(x) = f(f(f(…(x)…)))

    a) Express g(x) as f(?)
    b) Express h(x) as f(?)
    Last edited by key; December 10th 2007 at 11:47 AM.
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  2. #2
    key
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    what happened?
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  3. #3
    GAMMA Mathematics
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    You forgot to wrap html tags around your code?
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  4. #4
    key
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    how do i fix it
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