what is the range of the function y = 2sin x? a. all real numbers b. -2,2 c. π d. 2π
what is the range of the function y = 2sin x? a. all real numbers b. -2,2 c. π d. 2π
Answer
Explanation:
Step1: Recall range of sin x
The range of the basic sine - function $y = \sin x$ is $[-1,1]$, that is $-1\leqslant\sin x\leqslant1$.
Step2: Multiply by 2
Multiply each part of the inequality $-1\leqslant\sin x\leqslant1$ by 2. We get $2\times(-1)\leqslant2\sin x\leqslant2\times1$, which simplifies to $-2\leqslant2\sin x\leqslant2$.
Answer:
B. $[-2,2]$