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

Answer 1

domain is any degree, x can take on any real value

range for a standard cosine function is -1 to 1, but the 2 shifts it up by 2, making the range

1 to 3. BUT, the -3 changes the amplitude by a factor of -3, changing the range to -3 to -9

y values range from -9 to -3