deal with values of iterated functions. Suppose that f(n) is a function from the set of real numbers, or positive real numbers, or some other set of real numbers, to the set of real numbers such that f(n) is monotonically increasing [that is, f(n)<f(m) when n<m) and f(n)<n for all n in the domain of f.] The function f(k)(n) is defined recursively by
Furthermore, let c be a positive real number. The iterated function is the number of iterations of f required to reduce its argument to c or less, so is the smallest nonnegative integer k such that fk(n) ≤ c.
Let f(n) = n ‒ a, where a is a positive integer. Find a formula for f(k)(n). What is the value of when n is a positive integer?
Lecture 11- Plotting,Part 2 Thursday,October13,201612:07PM set Function One wayto customize your axes • • set(variable name for gca, 'what you're modifying ',...