Is There a Value of x in [0,1] Such That f(x)=x for a Continuous Function f?

[jmich79]

Suppose that f is ais continuos function defined on [0,1] with f(0)=1 and f(1)=0. show that there is a value of x that in [0,1] such that f(x)=x. Thank You.

 

[Office_Shredder]

A.) This isn't a differential equation
B.) This should be in the homework section
C.) Look at f(x)-x