1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Polynomial function quick

  1. Sep 18, 2011 #1
    1. The problem statement, all variables and given/known data


    Why is this not a polynomial function? h(x) = 3x + 2x
    2. Relevant equations



    3. The attempt at a solution

    3x+2x = 5x.

    5x is a linear function with a degree of 1, why is this not a polynomial funct?
     
  2. jcsd
  3. Sep 18, 2011 #2
    You already said it has a degree of one and is linear right?

    What is it called when the term has one degree?
     
  4. Sep 18, 2011 #3
    so.. linear functions are not polynomial functions but quadratic functions of x^2 are ?
     
  5. Sep 18, 2011 #4

    symbolipoint

    User Avatar
    Homework Helper
    Education Advisor
    Gold Member

    An Algebra book I've seen recently would classify that as a polynomial, as well as being a monomial IF you see that you can combine the terms: 3x+2x=5x. Yes, 5x would still be a polynomial (but I would not want to call it that. I would rather just call it a monomial).
     
  6. Sep 18, 2011 #5
    Quick question.

    Describe transformation to graph x^4 :: 5f[2/5(x-3)] +1

    so.. vertical 5, horizontal 2/5 (in the book it says 5/2... ? is that how it is?) right 3 up 1.

    Is the horizontal 2/5 or 5/2 ? why flip it if its outside the x already?\

    Or do you always state the recipricol of it?
     
  7. Sep 19, 2011 #6

    Mark44

    Staff: Mentor

    For new questions, you really should start a new thread.

    Assuming f(x) = x4, the graph you're asking about is y = 5f( 2/5 *(x - 3)] + 1.

    If you know the graph of y = g(x), the graph of y = g(3x) represents a compression toward the y-axis by a factor of 1/3 of the graph of g. So for example, if (6, 2) is a point on the graph of g, then (2, 2) will be on the graph of y = g(3x).

    The graph of y = 2g(x) represents a stretch away from the x-axis by a factor of 2.

    Can you apply these ideas to your problem?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Polynomial function quick
  1. Polynomial function (Replies: 15)

  2. Polynomial Functions (Replies: 7)

Loading...