Define the fixed point of a real function f.

Question

anonymous · Answer

You're asking what a fixed point is?

anonymous · Answer

Of a function, yes ( I can see there is no enthusiasm for this question:-)

anonymous · Answer

Oh. A fixed point of a function is any input value who's output is the same. (they correspond to intersections of the function and the y=x line)

anonymous · Answer

$$\implies f(a) = a$$

anonymous · Answer

I guess iteration is not popular, right?

anonymous · Answer

iteration?

anonymous · Answer

u know, attracting and repelling points, that sort of thing.

anonymous · Answer

ah. yes. No, that's mostly above the level many of the students around here are at.

anonymous · Answer

I don't know why it should be so, a lot of the ideas have similarities with ideas in calculus.

anonymous · Answer

yeah, but there's not even a lot of people here who understand calculus.

anonymous · Answer

A fixed point of a function f(x) is a real number r in the domain of f such that f(r) = r.