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!

How do you graph this function?

  1. Oct 31, 2011 #1
    1. The problem statement, all variables and given/known data

    For a given fixed value, z, how would the level curves of the function below look like? (i.e. the graph of the function in the xy plane, for some given value z.

    z = min(2x+1, x+y, 2y+1)




    2. Relevant equations



    3. The attempt at a solution

    Ive been working on this for awhile, but I can't seem to get it right.

    Thanks,
    M
     
  2. jcsd
  3. Oct 31, 2011 #2

    Mark44

    Staff: Mentor

    My take on this is that all three expressions on the right side of your equation above should be considered functions of x and y. The equations z = f(x, y) = 2x + 1, z = g(x, y) = x + y, and z = h(x, y) = 2y + 1 all represent planes in R3.

    The function z = k(x, y) = min{f(x, y), g(x, y), h(x, y)} assigns to each point (x, y) in the domain, whatever number is the smallest of the three functions at that point.

    Graphing each of the three functions would be a good start, IMO.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook