If y = 3sin(x)3, and x has no limit, then y has a range of -3 to 3.
Chat with our AI personalities
+3 and -3
The only variable on the right hand side is sin(x). The maximum value of sin(x) is 1. So, the max value of 3sin(x) is 3*1 = 3 and so, the max value of 3sin(x) + 2 is 3+2 = 5.
Domain and range are not sufficient to determine the y intercept. For example, the domain and range for the straight line y = 2x + 3 are the whole of the real numbers. That tells you nothing about the intercept.
It is y >= 5.
The domain is (-infinity, infinity) The range is (-3, infinity) and the asymptote is y = -3