Answer:
8pi
Step-by-step explanation:
A "period" of a function just means the length of one cycle. For a graph, what I usually do is pick one of the crests or troughs (high points or low points) and see how many units it takes for me to get from one crest to the next crest, or one trough to the next trough. But for any problem like this, you just need to pick a point on the curve and figure out how long it takes you to get to the same point on the next wave. Crests and troughs are just easier to follow than any random point in the middle. (Looking up a video about this would probably help you visualize it better.)
In your case, there's a trough at -2pi and another trough at 6pi, so it takes 8pi to get from one to the other. You can double check this by choosing the crest at -6pi and seeing how many units it takes for you to get from -6pi to the next crest at 2pi. Again, the answer is 8pi, so the period of this function will be 8pi.
<h3>
Answer: Choice A) y = 2</h3>
How I got that answer:
The degrees of both the numerator and denominator polynomial are both 2
Degree of 10x^2 is 2
Degree of 5x^2+1 is 2
Because the degrees are equal, this means we divide the leading coefficients 10 and 5 to get 10/5 = 2.
As x gets really really large, in either positive or negative direction, then y is slowly going to approach y = 2.
A graph helps confirm this. See below. I used GeoGebra to make the graph.
It looks like it actually gets to y = 2, but in reality its just getting really really close that it gives that illusion.
Answer:
0
Step-by-step explanation:
do 0.25 times 8 which is 2 and then subtract two which makes it 0