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2. Find the maximum and minimum values, if any, of the following functions
given by
(iii) $h(x) = \sin(2x) + 5$

Answers (1)

G Gautam harsolia

Given function is
$h(x) = \sin(2x) + 5$
We know that value of sin 2x varies from
$-1 \leq sin2x \leq 1$
$-1 + 5 \leq sin2x +5\leq 1 +5\\ 4 \leq sin2x +5\leq 6$
Hence, the maximum value of our function $h(x) = \sin(2x) + 5$ is 6 and the minimum value is 4

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