posted by .

Find a formula for the exponential function that satisfies h(2)=22 and h(4)=14.08

  • Math -

    if h(x) = ae^bx,
    just plug in your values:
    22 = ae^2b
    14.08 = ae^4b

    divide one by the other, and the a's cancel

    14.08/22 = .64 = e^2b
    e^b = .8

    22 = a*.64
    a = 34.375

    h(x) = 34.375 e^bx = 34.375 * 0.8^x

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Describe how an exponential function changes as the base increases. What is an "exponential function" and how would I find the answer?
  2. math - another ? - exponentials

    The two formulas f(t) = Pa^t and f(t) = Pe^rt provide two models for the same exponential growth or decay function. How are the exact values of a and r related?
  3. Math

    Let f(t) be an exponential function with f(0) = 11 and f(4) = 59. Use the form f(t) = Pa^t to find an equation for this exponential function?
  4. Pre-Calculus

    The exponential function y(x)=Ce^ax satisfies the conditions y(0)=6 and y(1)=7. (a) Find the constants C and a. Enter the exact value of a. (b) Find y(2). Enter the exact answer. Simplify the answer so it does not contain any logarithms.
  5. calculus

    Find a formula for the exponential function that satisfies h(2)=22 and h(4)=14.08
  6. Calculus-Function

    sketch the graph of a function in neighborhood x=2 that satisfies these conditions f(2)=3 f'(2)=2 f"(2)=-1 you can find a specific function that satisfies all of the given conditions i know the first derivative gives you critical points, …
  7. Math

    True or False. If possible kindly explain why so that I can understand it. Thanks much. 1. f(x) = 1^x is not an exponential function. 2. Every exponential function is strictly increasing.
  8. Exponential Growth and Decay

    Can somebody please check my answers? 1. Identify the initial amount a and the growth factor b in the exponential function. g(x)=14*2^x a)a=14, b=x b)a=14, b=2 <<<< c)a=28, b=1 d)a=28, b=x 2. Identify the initial amount
  9. Math

    Find the exponential function that passes through (0,5) and (4, 1/2). Formula is y=Ce^kx
  10. College Algebra

    Find the formula for the EXPONENTIAL FUNCTION that satsifies the given conditions. f(0)=8 and f(1)=2.4 f(x)=_____

More Similar Questions