Question

Define the fixed point of a real function f.

Answer 1

You're asking what a fixed point is?

Answer 2

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

Answer 3

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)

Answer 4

\[\implies f(a) = a\]

Answer 5

I guess iteration is not popular, right?

Answer 6

iteration?

Answer 7

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

Answer 8

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

Answer 9

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

Answer 10

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

Answer 11

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