I've been trying to figure out this problem:
Let f: be strictly increasing function on it's Domain with range of all real numbers.
Does it always intercept x and y axis ?
So my guess is that strictly increasing function with with range of all real numbers always crosses both x and y axis.
Apparenty this my guess is wrong.
I can't figure out the right answer based on the theory that i found on the internet or in my textbook.
I've tried to graph different strictly incresing functions like: f(x)= 2x-1, f(x)= 2x+3or f(x)= x+3.
They all seem to have both x and y intercepts.
I think the question has something to do with function `f(x) =x`
Thank you.