Answer
Refer to the graph below.
Work Step by Step
RECALL:
The function $y=a \cdot \cos{(bx)}$ has:
amplitude = $|a|$
period = $\frac{2\pi}{b}$
The given function has $a=2$ and $b=\pi$. Thus, the given function has:
amplitude = $|2|=2$
period = $\frac{2\pi}{\pi}=2$
This means that one period of the given function is in the interval $[0, 2]$.
Divide this interval into four equal parts to obtain the key x-values $0, 0.5, 1, 1.5, \text{ and } 2$.
To graph the given function, perform the following steps:
(1) Create a table of values substituting each of the key x-values listed above into the given function.
(Refer to the table below.)
(2) Plot each point from the table then connect them using a sinusoidal curve.whose amplitude is $2$.
