Given h of x equals 2 times the square root x minus 5 end root, which of the following statements describes h(x)?

The function h(x) is increasing on the interval (–∞, 5).
The function h(x) is increasing on the interval (5, ∞).
The function h(x) is decreasing on the interval (–5, ∞).
The function h(x) is decreasing on the interval (–∞, –5).

Question

06-05-2022
Mathematics

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Given h of x equals 2 times the square root x minus 5 end root, which of the following statements describes h(x)?

The function h(x) is increasing on the interval (–∞, 5).
The function h(x) is increasing on the interval (5, ∞).
The function h(x) is decreasing on the interval (–5, ∞).
The function h(x) is decreasing on the interval (–∞, –5).

Sagot :

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topeadeniran2 topeadeniran2 · Answer 1 · 2022-05-10T08:50:31-04:00

The option that describes h(x) is B. The function h(x) is increasing on the interval (5, ∞).

What is a function?

In mathematics, a function simply means a relation between the inputs and the outputs.

In this case, the information given is that h(x) is 2 times the square root x minus 5. The square root of the negative number cannot be taken, therefore, the domain of the function is restricted.

Since the domain is restricted, the function is increasing. Therefore, the function h(x) is increasing on the interval (5, ∞).

Learn more about functions on:

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Sagot :

What is a function?

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