can you give me an example of a nonlinear function with two inputs?
f(x) = 3x² – 2x + 8
f(0); f(7a)
Kell, how did you find these two inputs?
it will not let me post the web site I went too
did the web site show you the steps? Do you have them available?
Certainly! One example of a nonlinear function with two inputs is the function f(x, y) = x^2 + y^2.
To understand why this function is nonlinear, we can examine its graph. First, let's create a table of values for the inputs x and y, along with the corresponding output values of f(x, y):
Input (x, y) | Output f(x, y)
------------------------------
(0, 0) | 0
(1, 2) | 5
(-2, 3) | 13
(4, -1) | 17
Next, let's plot these points on a Cartesian coordinate system. After connecting these points, we can see that the graph of f(x, y) = x^2 + y^2 is a curved surface, specifically a paraboloid-shaped surface.
Unlike linear functions, which form a straight line on a graph, this paraboloid-shaped surface demonstrates that the function f(x, y) = x^2 + y^2 is nonlinear since the rate of change of the output (f(x, y)) with respect to the inputs (x and y) is not constant.