what is the domain and range of y = sinx?
what is the domain and range of y = sinx?
Answer
Explanation:
Step1: Recall domain definition
The domain of a function is the set of all possible input - values. For the sine function (y = \sin x), (x) can be any real number. The set of real numbers is denoted as ((-\infty,\infty)).
Step2: Recall range definition
The range of a function is the set of all possible output - values. The sine function oscillates between - 1 and 1. That is, (-1\leqslant\sin x\leqslant1). In interval notation, the range is ([-1,1]).
Answer:
Domain: ((-\infty,\infty)); Range: ([-1,1])