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

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Answer 1 · 2016-04-02T08:16:23

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

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.

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