CONTOUR MAPS!!!

[odee]

Hi. Please I need the steps on how to draw contour maps of functions.

Please could you direct me with these examples:
f(x) = x1 + x2 (for values of y=1, 4, 9)
f(x) = x1x2 (for values of y=1, 4, 9)
f(x) = (x1 + x2)^2 (for values of y=1, 16, 81)

This will be my first attempt at drawing these maps, so I would appreciate the basic foundations/steps, to enable me draw some other contours I was given myself.
Thank you.

 

[mmm4444bot]

f(x) = x1 + x2 (for values of y=1, 4, 9)
f(x) = x1x2 (for values of y=1, 4, 9)
f(x) = (x1 + x2)^2 (for values of y=1, 16, 81)

You need to define your symbolism.

Do your symbols x1 and x2 each represent functions of x ?

Are the symbols x1 and x2 supposed to denote subscripted variables ? I mean, function f is supposed to be a two-variable function ?

f(x1, x2) = x1 + x2 ?

Does the symbol y represent the function output ?

y = f(x) OR y = f(x1, x2) ?

I'm not sure how one could draw a contour map of function f, in the absence of any definitions for these three symbols.

 

[odee]

Hi, thanks for your response.

Yes, f(x) is a 2-variable function:
x subscript 1 and x subscript 2.

The question did not say what y was...but, please let us assume that y is the output function:
That is,
y = f(x)

Thank you.