what is the domain and range of f(x) = -3sin(x)?

Question

what is the domain and range of  f(x) = -3sin(x)?

anonymous · Answer

domain: [0,pie/2]
range : [-3,+3]

anonymous · Answer

@dhashni,
the domain of sine and cosine is all real numbers.  there is no restriction

across · Answer

As satellite said, $\sin(x)$ is defined everywhere.

anonymous · Answer

the graph of f(x) = sin(x) – 5?

anonymous · Answer

you have the range correct, however.  since 
$$-1\leq \sin(x)\leq 1$$ then 
$$-3\leq -3\sin(x)\leq 3$$

anonymous · Answer

then when we restrict its domain?

anonymous · Answer

$$y=\sin(x)-5$$looks exactly like the graph of 
$$y=\sin(x)$$ only shifted down 5 units

anonymous · Answer

@rosy, it is your function, you can do what you like with it. if you choose to restrict the domain, you may.
but as a convention we take the domain to be the largest possible set for which we get a real number output, and for sine and cosine that set is all real numbers

anonymous · Answer

i think when we want to find the inverses of sine and cosine functions then we restrict the domain from all rel nos. to [0,pie] isn't it?