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Polynomial function transformation help

  1. Sep 17, 2011 #1
    1. The problem statement, all variables and given/known data
    What is the difference between f(x)= x^3 , and g(x) = x^3 - x

    What does that -x do to the function and how do you represent it graphically?

    What about f(x) = 3x^3 +x


    2. Relevant equations



    3. The attempt at a solution

    No idea, wolframalphad the graph but i dont get how to represent it or what it does to the graph.

    Anyone help please??
     
  2. jcsd
  3. Sep 17, 2011 #2
    any1..?
     
  4. Sep 17, 2011 #3

    gb7nash

    User Avatar
    Homework Helper

    There's a lot of differences. Are you just supposed to list all of the differences that you can find?

    This is also not worded very well. What does it do to f(x) how? As far as graphing it goes, just pick a few points and plug them in.
     
  5. Sep 17, 2011 #4
    Yes.. list the differences, I dont get it.
     
  6. Sep 17, 2011 #5
    So...

    x^3 has points

    -2 -8
    -1 -1
    0 0
    1 1
    2 8


    So doing x^3 + x would be

    -2 (-2)^3 + -2 = -10
    -1 -2
    0 0
    1 2
    2 10

    I graphed it... looks almost exaclty like a linear function, passes thru vertex to.. is taht right then?
     
  7. Sep 17, 2011 #6
    zzz, anyone?
     
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