Question

Find the domain and range of each

f(x)=-6cos(pi*x)/4

Please show work

Answer 1

First of all, \(\cos\) always has a range of \([-1,1]\) in real values. So the thing inside does not matter. But when you multiply that by -6, then the maximum value is \(6\) and the minimum is \(-6\). If you divide that by 4, then the maximum value is \(1.5\) and the minimum is \(-1.5\).

Answer 2

And you can input anything into \(\cos\), so that will help you in finding the domain.

Answer 3

Thank you! Made perfect sense.

Answer 4

You're welcome!