Condition of periodic function for |sin πx|

Question

Period of |sin πx| = 1

Wolfram alpha :

So why this condition for Periodic function is not true?

f(x) = f(x + T)

Wolfram alpha :

Answer 1

You need to evaluate

$$|\sin(\pi\cdot (0 + 1))|$$

and not

$$|\sin(\pi\cdot 0)+1|$$

Answer 2

You should put it $|sin(\pi(0+1))|$ You should replace $x$ by $x+1$. Check their graphs for better understanding