Question

How do you find the domain and range of `f(x) =2sinx`?

Answer 1

Domain : `-oo<=x<=+oo`
Range: `-2<=f(x)<=2`

Explanation:

The value of x in the equation `y=2 sin x` can any real number along the x-axis so the domain is `-oo<=x<=+oo`

The value of f(x) in the equation `y=2 sin x` can only take values from -2 to +2. The range is `-2<=f(x)<=2`

the graph of `f(x)=2 sinx` at close up
graph{y=2 sin x[-5,5,-2.5,2.5]}

the graph of `f(x)=2 sinx` at somewhere away
graph{y=2 sin x[-20,20,-10,10]}

God bless...I hope the explanation is useful.