How do you find the domain and range of y=-3sin(1/2)x

djo57bgfrqn

djo57bgfrqn

Answered question

2022-10-26

How do you find the domain and range of y = 3 sin ( 1 2 ) x?

Answer & Explanation

Amadek6

Amadek6

Beginner2022-10-27Added 21 answers

y = 3 sin ( x 2 )
The amplitude is 3
The period (T) = 2 π π = 2 π 1 2 = 4 π
Now you can graph the equation like below.
graph{ 3 sin ( x / 2 ) [ 10 , 10 , 5 , 5 ]}
You will notice then that:
Domain: all reals x
Range: 3 y 3
For the range, a tip is that for the range of the sine or cosine function, the range is always between the positive and negative amplitude.

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