Question

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, ∞).

Answer 1

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, ∞).