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