math

What is the rule for this function?
input 1 output 2
input 2 output 5
Input 3 output 12
Input 4 output 34
Input 5 output 135
Input 6 output 741

  1. 👍 0
  2. 👎 0
  3. 👁 23
asked by Rima
  1. e^x:
    2.718
    7.389
    20.08
    54.598
    148.413
    403.428
    so, it grows faster than e^x as x gets large

    maybe e^(kx^2) can be adjusted some. Since it is not at all obvious (to me), and since there are only 6 data points, it will be e possible to fit any suitable polynomial or exponential.

    For example, Newton's divided difference method fits

    f(x) = 2 + 3(x-1) + 2(x-1)(x-2) + (11/6)(x-1)(x-2)(x-3) + (6625/3000)(x-1)(x-2)(x-3)(x-4) + (103/40)(x-1)(x-2)(x-3)(x-4)(x-5)
    = (1/120)(309x^5 - 4370x^4 + 23835x^3 - 61330x^2 + 73476x - 31680)

    1. 👍 0
    2. 👎 0
    posted by Steve

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math

    Hey, I need your help! I have an input output table that I need the function rule for. The table is like this: Input: 0 Output: 25 Input: 100 Output: 35 Input: 200 Output: 45 Input: 300 Output: 55 Input: 400 Output: 65 PLEASE I

    asked by C.J. on February 27, 2012
  2. math

    i need help with patterns and equations i cant find the rule it goes like dis input 0 out put 25 input 1 output 24 input 2 output 23 input 3 mising output input 4 missing output

    asked by meme on May 8, 2012
  3. math

    i need help! my last math question cant figure out! whats the rule for input 3 output 9 input 4 output 16 input blank output 25 input 6 output blank input 10 output 100, thank you been stuck for over 30 minutes!!!!

    asked by lillie on May 23, 2013
  4. math

    What is the rule for this function? input 1 output 2 input 2 output 5 Input 3 output 12 Input 4 output 34 Input 5 output 135 Input 6 output 741

    asked by Rima on September 18, 2016
  5. Computer Science

    What is the rule for this function? input 1 output 2 input 2 output 5 Input 3 output 12 Input 4 output 34 Input 5 output 135 Input 6 output 741

    asked by Rima on September 18, 2016
  6. Math

    What's the rule the function machine using, input 22,output 12,input 23,output 16,input 24,output 20,input 25,output24,input 26,output 28

    asked by Anonymous on May 23, 2016
  7. Physics

    I cannot find the answer anywhere on the reading or notes. Which of the following is a primary function of an adaptor that you plug into an ordinary electrical socket? It converts AC input to DC output. It converts AC input to AC

    asked by Joe on March 16, 2018
  8. math

    input 1 nickel/output 3 pennies, input 1 dime/output 3 nickels, input 1 quarter/(not sure what the output would be--I think 3 dimes, input 1 half-dollar/(not sure what the output would be--thinking 1 quarter). If I am write I am

    asked by meeka on November 2, 2008
  9. calculus

    i have a problem figureing out this question do you have any help? need to find the input and output of these numbers input 2 & output 9, input0 & output7, input-9 & output-2, input-20 & output-8 nothing seems to work. help me

    asked by dylan on February 28, 2008
  10. math plzhelp

    I need help connexus users 1. identify the function rule from the values in the table input\output -1 / -2 0 / -1 1 / 0 2 / 1 a. output equals input times 2 b output equals input minus 1 c output equals input times -1 d output

    asked by dumb kiddo on May 29, 2018

More Similar Questions