Results 1 to 2 of 2

Math Help - Functions

  1. #1
    Junior Member
    Joined
    Oct 2009
    Posts
    32

    Functions

    1. a) Describe the transformations from x^4-x^3+x^2 to
    -3((0.5(x+4))^4-(0.5(x+4))^2)
    c) Factor each function in a) to find the x-intercepts

    2. A farm has a sale on eggs seling 13 eggs for the usual price of a dozen eggs. As a result, the price of eggs is reduced by 24 cents a dozen. What was the original price for the dozen eggs?
    A: I guessed $37.00 I dont know if that is right.

    [ ] = means that whatever's inside appears in the bottom of f and in small letters, like the reverse of ^2.
    3. Given f[0](x) = x^2 and f[n-1] = f[0](f[n](x)), where n is any natural number
    a) determine f[1](x), f[2](x), and f[3](x)
    b) determine a formula for f[n](x) in terms of n
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member apcalculus's Avatar
    Joined
    Apr 2009
    From
    Boston
    Posts
    293
    Quote Originally Posted by shane99 View Post
    1. a) Describe the transformations from x^4-x^3+x^2 to
    -3((0.5(x+4))^4-(0.5(x+4))^2)
    c) Factor each function in a) to find the x-intercepts

    2. A farm has a sale on eggs seling 13 eggs for the usual price of a dozen eggs. As a result, the price of eggs is reduced by 24 cents a dozen. What was the original price for the dozen eggs?
    A: I guessed $37.00 I dont know if that is right.

    [ ] = means that whatever's inside appears in the bottom of f and in small letters, like the reverse of ^2.
    3. Given f[0](x) = x^2 and f[n-1] = f[0](f[n](x)), where n is any natural number
    a) determine f[1](x), f[2](x), and f[3](x)
    b) determine a formula for f[n](x) in terms of n
    x^4-x^3+x^2
    to

    f(x)= 3((0.5(x+4))^4-(0.5(x+4))^2

    Note that, generally, f[(x+4)] is a horizontal translation of f(x) to the left by 4 units. The multiplication by 3 and -0.5 of the two terms is a vertical stretch and a shrink, respectively, except it's applied to the terms separately. But you have a cubic term in the original function which makes me wonder if something is missing in the 'transformed' function when you typed it.

    You could of course expand the new function but it seems kind of pointless... or maybe I am not seeing it. I am sure other team members may have good ideas.

    Good luck!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: April 15th 2010, 06:50 PM
  2. Replies: 3
    Last Post: February 23rd 2010, 05:54 PM
  3. Replies: 11
    Last Post: November 15th 2009, 12:22 PM
  4. Replies: 7
    Last Post: August 12th 2009, 05:41 PM
  5. Replies: 1
    Last Post: April 15th 2008, 10:00 AM

Search Tags


/mathhelpforum @mathhelpforum