Consider the graph of the comic function shown below Find th

Consider the graph of the comic function shown below Find the period untemplated of the cosine function. At what values of theta lessthanorequalto Theta 2x do the maximum values, minimum values(s), and zeros occur?

Solution

a)

The graph repeats itslef at a length of pi, hence period is Pi.

The maximum distance from the horiozntal axis is 4, hence Amplitude is 4.

b)

The function has maximum value 4 at x=0, pi, 2pi

The function has minimum value -4 at x= pi/2 , 3pi/2

The function has zero, crosses the x-axis at x= pi/4 , 3pi/4, 5pi/4 , 7pi/4