How can I find the domain and range of a function from the equation of that function(without using a graph of any kind)? For example, how would I find the domain and range of f(x)=3sin(2x)?

Question

Thank you for your help!

Answer 1

there is a y for every x from -oo to + oo so domain is all real x
y never gets higher than 3 or lower than -3 so range is from -3 to +3