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

Domain : $- \infty \le x \le + \infty$
Range: $- 2 \le f \left(x\right) \le 2$

#### Explanation:

The value of x in the equation $y = 2 \sin x$ can any real number along the x-axis so the domain is $- \infty \le x \le + \infty$

The value of f(x) in the equation $y = 2 \sin x$ can only take values from -2 to +2. The range is $- 2 \le f \left(x\right) \le 2$

the graph of $f \left(x\right) = 2 \sin x$ at close up
graph{y=2 sin x[-5,5,-2.5,2.5]}

the graph of $f \left(x\right) = 2 \sin x$ at somewhere away
graph{y=2 sin x[-20,20,-10,10]}

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