State the domain and range of one period of 𝑦 = −3cos (𝑥 + 𝜋/2) + 2.

Answer 1

domain is any real number. There are no restrictions on the value of x

cosines vary from -1 to +1. With -3 as a coefficient, that changes to -3 to +3. Add the 2 and it changes to -1 to 5

the range is [-1, 5]