Exploring Quantum Physics - Week 3 Bonus Question 3

Question:

What is true about $\hat{I}\psi_7(x)$?

Solution:

$\psi_7(x)$ is an odd function of $x$, so these choices are correct

$\hat{I}\psi_7(x) = \psi_7(-x)$
$\hat{I}\psi_7(x) = -\psi_7(x)$
$\hat{I}\psi_7(x) = (-1)^7\psi_7(x)$