Question

The range of the function $2\sin x+7$ is

• A. $[0,7]$
• B. $[-7,7]$
• C. $[5,7]$
• D. $[5,9]$

Answer 1

The correct option is D $[5,9]$

We know $-1\le \sin x\le 1$
$\Rightarrow -2\le 2\sin x\le 2$
$\Rightarrow 5\le 2\sin x+7\le 9$
$\therefore$ Range $=[5,9]$