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In which interval is the radical function f of x is equal to the square root of the quantity x squared plus 2 times x minus 15 end quantity increasing?

[3, ∞)
(4, ∞)
[–5, 3]
(–∞, –5] ∪ [3, ∞)

Respuesta :

Using function concepts, it is found that it is increasing on the interval:

(–∞, –5] ∪ [3, ∞)

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The function is given by:

[tex]f(x) = \sqrt{x^2 + 2x - 15}[/tex]

The graph is given at the end of this question.

  • If the function is pointing upwards, it is increasing. Otherwise, it is decreasing.
  • In the graph, it can be seen that it is pointing upwards for x of -5 and less, or 3 and higher, thus, the interval is:

(–∞, –5] ∪ [3, ∞)

A similar problem is given at https://brainly.com/question/13539822

Ver imagen joaobezerra

Answer:

[3, ∞)

Step-by-step explanation:

The correct answer is [3, ∞) because 3 is increasing, while -5 is decreasing.

I also took the test and got it right!

hope this helps!

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