true or false: the image below is an example of a periodic function. * 1 point\ntrue\nfalse
true or false: the image below is an example of a periodic function. * 1 point\ntrue\nfalse
Answer
Explanation:
Step1: Recall periodic - function definition
A function (y = f(x)) is periodic if there exists a positive real - number (T) such that (f(x + T)=f(x)) for all (x) in the domain of (f).
Step2: Observe the graph
The graph repeats itself every (4) units (for example, the part of the graph from (x = - 2) to (x = 2) is the same as the part from (x = 2) to (x = 6)). That is, if we let (T = 4), for any (x), (f(x+4)=f(x)).
Answer:
True