First slide

Functions (XII)

Question

The range of $y = 1 - \sin x$ is

Moderate

A

$[- 1, 1]$
B

$[0, 1]$
C

$[- 1, 2]$
D

$[0, 2]$

Solution

$- 1 \leq \sin x \leq 1 \Leftrightarrow - 1 \leq - \sin x \leq 1 \Leftrightarrow 0 \leq 1 - \sin x \leq 2$

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