1. Domain
2. Period
3. Range
4. Amplitude
5. Maximum Value at
6. Minimum Value at
7. Zeros (form least to greatest)
Part 1
Domain -----> data set of all possibles values of x
domain is the interval (-infinite, infinite) All real numbers
Part 2
Period
Remember that
For a trigonometric function, the length of one complete cycle is called a period
so
Period is the distance between pi/2 and 5pi/2
period=2pi
Part 3
Range ------> data set of all possible values of y
range is the interval {-1,1} All real numbers greater than or equal to -1 and less than or equal to 1
Part 4
Amplitude
Amplitude is the distance between the center line of the function and the top or bottom of the function
so
Amplitude=1
Part 5
Maximum Value at x=pi/2,5pi/2,9pi/2, 13pi/2 and x=-3pi/2,-7pi/2,-11pi/2
maximum value is y=1
Part 6
Minimum Value at x=3pi/2,7pi/2,11pi/2,.. and x=-pi/2,-5pi/2,-9pi/2,...
minimum value is y=-1
Part 7
Zeros (form least to greatest)
-3pi,-2pi,-pi, 0,pi,2pi,3pi,..