The graph of the function h(x) is increasing on the interval (–2, ∞).
The domain of the function is the set of values for which the function is valid and real.
Thus, the domain of the function h(x) = [tex]\mathbf{3 \sqrt{x+2}}[/tex] is x ≥ -2. The interval notation of the domain is: (-2, ∞)
Therefore, the graph of the function h(x) is increasing on the interval (–2, ∞).
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