Question

TWO PARTER! x the points

a. Find the period and amplitude of the cosine function.
b. At what values of for do the maximum value(s), minimum values(s), and zeros occur?

Answer 1

a) As you can see in the graph attached, the repeating pattern of the function is π, therefore the period is:
Period=π
The amplitude is:
Amplitude=4-(-4)/2=8/2
Amplitude=4
b) The graph shows that the maximum values are (Where y=4):
Maximum values: 0,π,2π
The minimum values are (Where y=-4):
Minimum values:π/2,3π/2
The zeros are:π/4,3π/4,5π/4,7π/4