Answer
(a) see graph and explanations below.
(b) see graph and explanations below.
Work Step by Step
(a) We can graph the function $y=sin(\sqrt x)$ as shown in the figure.
Clearly it differs from $y=sin(x)$ in that it does not have a constant period,
and the gaps between oscillations become larger as x increases.
(b) We can graph the function $y=sin( x^2)$ as shown in the figure.
Clearly it differs from $y=sin(x)$ in that it does not have a constant period,
and the gaps between oscillations become smaller as x increases.