Find the maximum and minimum values of the function
$
h(x) = \sin (2x) + 5
$

Q: Find the maximum and minimum values of the function $ h(x) = \sin (2x) + 5 $

Explanation: Since $-1 \leq \sin(2x) \leq 1$, \[ 4 \leq \sin(2x) + 5 \leq 6 \] \[ \text{Minimum value of } h(x) = 4, \quad \text{Maximum value of } h(x) = 6 \]

Question

Find the maximum and minimum values of the function  
$
h(x) = \sin (2x) + 5
$

Accepted Answer

Explanation: Since $-1 \leq \sin(2x) \leq 1$,  
$$
4 \leq \sin(2x) + 5 \leq 6
$$  
$$
\text{Minimum value of } h(x) = 4, \quad \text{Maximum value of } h(x) = 6
$$

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