0
$\begingroup$

I need a function that does the following:

  • x can not be greater than 1
  • y can not be greater then 2
  • As x approaches the value 0, then y approaches, but does not reach the value 2.
  • As y approaches the 0, then x appproaches, but does not reach the value 1.

The graph of the function should look something like the following image, except for the part where the x value exceeds the value of 1. I need x to only approach the value of 1.

This is kinda what I'm looking for

  • 0
    Does the function have to qualify as a nonlinear function also, or will a linear function do? There exist an uncountable infinity of nonlinear functions which satisfy your conditions.2011-09-14
  • 0
    "As x approaches the value 0, then y approaches, but does not reach the value 2." This is ambiguous. What about $y=2*(x-1)^2$? When $x$ "approaches" (but does not reach) 0, $y$ approaches (but does not reach) 1. Or perhaps you meant "when $x$ tends to 0, $y$ tends to some $y_0<1$2011-09-14

1 Answers 1