Answer
See below for graphs, as $c$ increases, the function rises more rapidly than lower $c$ values.
Work Step by Step
1. We first draw graphs of $y=2^{cx}$ with $c=0.25,0.5,1,2,4$ as shown in
the figure with a series of curves.
2. We compare these curves and find that with the increasing $c$ value, the function
grow with increasing rate, which means that $y=2^{4x}$ rises much faster than
$y=2^{0.25x}$ as can be seen from the figure.