Function Operations Assignment | Assignment Help Services
n this unit, you learned how to use function operations. One of the most important
operations is function composition. Just as two functions, f and g, can be composed
with each other, a function, f, can be composed with itself. Everytime that a
function is composed with itself, it is called an iteration. Iterations can be noted
using a superscript. You can rewrite (f o f)(x) as /2 (x), (f of o f)(x) as f3 (x), and
so on. For this work, it is recommended that you use technology such as a graphing
Start with the basic function f(x) = 2x. If you have an initial value of 1, then you
end up with the following iterations.
• f(1)= 2 · 1 = 2
• f^2 (1)=2 · 2 · 1 =4
• f^3 (1) = 2 · 2 · 2 · l = 8
1. If you continue this pattern, what do you expect would happen to the
numbers as the number of iterations grows? Check your result by conducting
at least 10 iterations.
2. Repeat the process with an initial value of -1. What happens as the number
of iterations grows?
Personal Note: What I noticed is for the second question could it possibly give the answer of negative then positive then negative since for example
f^3(-1) = f^3(-1) * f(-1)?