Question

What is the range of the function y = 2sin x?

A. (Pi)
B. [-2,2]
C. All real numbers
D. 2(pi)

Answer 1

The standard form of equation for the sin function is y = Asin(Bx-C) where A is amplitude, Period is 2π/B, and the phase shift is equal to Bx-C set to zero. C is then obtained in this equation.

For given problem: A is equal to 2, period=2π/B=2π/1=2π, where B is equal to 1. Period then is equal to A. 2pi

Answer 2

Answer is B.(-2,2)

Explanation: