Question

Over what domain is `f(x)=sin(x)` continuous ?

Answer 1

`f(x)` is continuous `forall x in RR`

Explanation:

`f(x) = sinx`

`f(x)` is continuous `forall x in RR`

The domain of `f(x)` is `(-oo, +oo)`

The range of `f(x)` is `[-1, +1]`

A portion of the graph of `f(x)` about the origin is shown below:

graph{sinx [-6.244, 6.244, -3.12, 3.123]}