what is the range of f(x) = sin(x)?\nthe set of all real numbers -2π≤y≤2π\nthe set of all real numbers…
what is the range of f(x) = sin(x)?\nthe set of all real numbers -2π≤y≤2π\nthe set of all real numbers -1≤y≤1\nthe set of all real numbers 0≤y≤2π\nthe set of all real numbers
Answer
Explanation:
Step1: Recall sine - function properties
The sine function (y = \sin(x)) oscillates between its minimum and maximum values.
Step2: Identify minimum and maximum
The minimum value of (\sin(x)) is (- 1) and the maximum value is (1) for all real - valued (x). So, the range of (y=\sin(x)) is all real numbers (y) such that (-1\leq y\leq1).
Answer:
the set of all real numbers (-1\leq y\leq1)