Question

Unit 6: Periodic Functions and Trigonometry

Answer 1

Answer:

#1) A. 4; #2) A. periodic; about 6; #3) B. not periodic; #4) C.  2; 0.5; #5) A. 0.05 seconds; 4.5.

Explanation:

#1)  The period of a function is essentially the amount of time it takes for the function to start all over and repeat itself.  In this function, at t = 0 the graph is at 1; it curves up, back down and begins again at y=1 when t=4.  This means the period goes from t=0 to t=4, so it is 4.

#2) Looking at the left side of the graph, specifically the peak at (-5, 2), we see the same peak at about (1, 2).  Following the graph after that we can see that it does indeed repeat itself; this means the period goes from t= - 5 to t = 1, so it is 6.

#3) This function never repeats, so it is not periodic.

#4) This function repeats when it reaches t=2, so 2 is the period.  The amplitude is the distance from the center line (of the graph, not the x-axis) to the peak.  The center line would be located at about y=0.5; the peaks are at y=-1.  This means the amplitude is 0.5.

#5) This function repeats every 0.05 seconds.  In this case, the center line is the x-axis; the distance from it to any peak is 4.5, so 4.5 is the amplitude.

Answer 2

I literally just finished this exact quick check. I got you. 
1. A
2. A
3. B
4. C
5. A

Guaranteed 100.