Determine whether the function is periodic. If it is periodic, find the period.
1 answer:
Answer
a) 2π
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is periodic.
The function is
f(x) = 3*sin(2*x) + 4*cos(3*x)
Which can be seen in the picture below
We can notice that f(x) is periodic. It has periodic amplitudes, and the function has a period T = 6.283 ≈ 2π
The maximum and minimum values are
Max = 6.695
Min = -6.695
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Answer:
(4,-2)
Step-by-step explanation:
If we are reflecting a point across the y-axis, that point must be on the same horizontal line that the pre-mage is was, this means the y coordinate must remain the same. Now we want the points on both sides of the y-axis to have the same distance. x and -x have the same distance from 0. This means you will need to take the opposite of x.
So a point (x,y) being reflected over the y-axis will give (-x,y).
( x , y)->(-x,y) means we have:
(-4,-2 )->(4,-2)
You can graph this to confirm it looks like a reflection through the y-axis.
