Question 1140740: Here is a link to my question. Any help would be appreciated.
https://gyazo.com/d9435f24b535777c58468c880c32704f
Answer by greenestamps(13215)   (Show Source):
You can put this solution on YOUR website!
(1) The period is how much the x value changes from the beginning of one cycle to the beginning of the next. One way to see a complete cycle is to go from one maximum to the next maximum. In the figure, there are maxima at x=0, x=4, and x=8. Use that to answer this part of the problem.
(2) The range is the set of y values that the function takes on. For example, if the smallest value a function takes on is -3 and the largest value is 11, the range is from -3 to 11, often written as [-3,11].
What are the smallest and largest y values for this function?
(3) The domain is the set of x values (or, in this case, t values) that the function can take on. The smallest t value in the graph is 0 (which makes sense, since t represents time; the scientist couldn't have started the experiment at a negative time).
You found the period in step (1); how long after t=0 is the end of 20 periods?
(4) The axis (or center line) is the horizontal line about which the function value oscillates. Since it is a horizontal line, the equation will be y=c for some constant value c. That value is the number in the exact middle of the range. So use your answer for (2) to get the equation of the axis.
(5) The amplitude is the difference between the y value of the axis and the y value of the maximum or minimum. You have both of those numbers from earlier parts of the problem.
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