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

1 Answer
Leland Adriano Alejandro
Apr 2, 2016

Domain : −∞≤x≤+∞
Range: −2≤f(x)≤2

Explanation:

The value of x in the equation y=2sinx can any real number along the x-axis so the domain is −∞≤x≤+∞

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

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

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

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

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