Question

How do you find the domain and range for `y = -sin 0.25x`?

Answer 1

Range `[-1.1]`
Domain `(-oo,oo)`

Explanation:

range doesn't change as in the equation `Asin(B(x-C)+D`

Only A and D change the range and so the range isn't changed as there is no vertical translation or stretch. So it retains the normal range of between 1 and -1. The minus at the beginning merely inverts it along the x axis

For the domain only the parts B and C can effect it we can see that the B is 0.25 so this is quadrupling the period but as the domain was `(-oo, oo)` From negative infinity to postive there is no change in the domain.