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Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?

The function h(x) is increasing on the interval (–∞, 3).
The function h(x) is increasing on the interval (–3, ∞).
The function h(x) is decreasing on the interval (–∞, 3).
The function h(x) is decreasing on the interval (3, ∞).

User Kevin He
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1 Answer

6 votes

Answer:

The function h(x) is decreasing on the interval (3, ∞).

Explanation:

Please take a look at the attached image.

You will see a graph of the given function h(x) = -2
√(x-3). The function is decreasing.

The function starts at 3 and starts to go towards negative infinity on the x-axis. Therefore the function is decreasing on the interval (3, ∞).

User Jvrdelafuente
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