Write a function m-file which given any real x returns f(x) (Hint: the floor function may help here).

A periodic function with period 3 is defined on the interval 0 ≤ x ≤ 3 by:

f(x) = 2sqrt(x), for 0 ≤ x ≤ 1
f(x) = 3-x, for 1 ≤ x ≤ 3

QUESTION: Write a function m-file which given any real x returns f(x) (Hint: the floor function may help here).

[Geoff Hayes]

Set - what is your question? This homework question seems straightforward, but is there something in particular that you are getting stuck on? Concentrate first on writing your function for the interval [0,3], and once you have that working, then try to figure out how the period of the function can be used for other inputs.

Answer 1

[Image Analyst]

I would think the rem() function would be better than floor. For example if you wanted to pass in 34.567, it should give the same f(x) output as 1.567.

>> rem(34.567, 3)
ans =
                     1.567