Answer:
[-4,2] is the range
Step-by-step explanation:
A parent function of sine is known to have range of -A ≤ y ≤ A where A stands for amplitude.
Therefore, we would have the range:
[tex] \displaystyle{ - 3 \leqslant g(x) \leqslant 3}[/tex]
But since there's a vertical shift of -1, we have to subtract -1 from both -3 and 3.
[tex] \displaystyle{ - 4 \leqslant g(x) \leqslant 2}[/tex]
Therefore, the range of function is [-4,2]
