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

Mar 29, 2018

Range $\left[- 1.1\right]$
Domain $\left(- \infty , \infty\right)$

#### 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 $\left(- \infty , \infty\right)$ From negative infinity to postive there is no change in the domain.