+3 and -3
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There is no maximum but te minimum is 15.
It has an absolute minimum at the point (2,3). It has no maximum but the ends of the graph both approach infinity.
When the quadratic is written in the form: y = ax2 + bx + c then if a > 0 y has a minimum if a < 0 y has a maximum and if a = 0 y is not a quadratic but y = bx + c, and it is linear. The maximum or minimum is at x = -b/(2a)
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.
If y = 3sin(x)3, and x has no limit, then y has a range of -3 to 3.