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Mathematics

Functions

Easy

Question

The range of the function $f left parenthesis x right parenthesis equals left square bracket sin x plus cos x right square bracket text (where end text left square bracket x right square bracket$ denotes the greatest integer function is

$[- 2, 1]$
${- 2, - 1, 0, 1}$
${- 1, 1}$
${- 2, - 1, 1}$

The correct answer is: $left curly bracket negative 2 comma negative 1 comma 0 comma 1 right curly bracket$

$negative square root of 2 less or equal than sin x plus cos x less or equal than square root of 2 not stretchy rightwards double arrow left square bracket sin x plus cos x right square bracket equals negative 2 comma negative 1 comma 0 comma 1$

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