Đáp án:
$\begin{array}{l}
d)y = f\left( x \right) = {\tan ^7}2x.\sin 5x\\
\Leftrightarrow f\left( { - x} \right) = {\tan ^7}\left( { - 2x} \right).\sin \left( { - 5x} \right)\\
= - {\tan ^7}2x.\left( { - \sin 5x} \right)\\
= {\tan ^7}2x.\sin 5x\\
\Leftrightarrow f\left( x \right) = f\left( { - x} \right)\\
\Leftrightarrow \text{hàm số chẵn}\\
e)y = f\left( x \right) = \left| x \right|.\sin x\\
\Leftrightarrow f\left( { - x} \right) = \left| { - x} \right|.\sin \left( { - x} \right) = - \left| x \right|.\sin x\\
\Leftrightarrow f\left( x \right) = - f\left( { - x} \right)\\
\Leftrightarrow \text{hàm số lẻ}
\end{array}$
