Question

Find the value of f(50) for the periodic function graphed below:

Answer 1

The function has a period of 6, this means that:

$f(x+6n)=f(x)$

where n is any integer number.

We need to find the value of f(50), this can be written as:

$f(50)=f(2+48)=f(2+6\cdot8)=f(2)$

Therefore f(50)=f(2) and since f(2)=1. Then f(50)=1