Answer
See graph below.
Work Step by Step
For $y=a\sin c(x−h) + k$ $y =a \cos c(x−h) + k$,
Amplitude: $|a|$, Period: $\frac{2\pi} {|c|}$,
Horizontal Shift: h
The question asks for a graph with an appropriate viewing rectangle, so we must calculate the period and then add it to the horizontal shift
Given $f(x) = \cos 100x$
The Amplitude is $|1| = 1$
The Period is $\frac{2\pi}{|100|} = \frac {\pi}{50}$
The Horizontal shift is 0 units to the right
The appropriate viewing rectangle would be from $[0, \frac{\pi}{50}]$
See graph below.
