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xenn [34]
3 years ago
13

A scuba diver returning to the surface swims to move up quickly, then waits a few meters below the surface to avoid pressure iss

ues. They complete the ascent more slowly. The function f represents the diver's distance from sea level over time, in seconds. Which of the following is true for f? f(x)= { 3x+1, if −9 < x ≤ −2 f(x)= {−5, if. −2 < x ≤ 1 f(x)= { x−6, if 1 < x < 7 Group of answer choices The domain is the depth interval (−26, 1). The domain is the depth interval (−9, 1]. The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7. The domain is the time interval (−9, 7). Group of answer choices domain: (–3, 3] negative: (–3, –2), (2, 5] range: (–3, 4] decreasing: (–1, 4) increasing: (–3, –1) positive: (–2, 2)
Mathematics
1 answer:
otez555 [7]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

<u>Given:</u>

  • f(x)= { 3x+1, if −9 < x ≤ −2
  • f(x)= {−5, if. −2 < x ≤ 1
  • f(x)= { x−6, if 1 < x < 7

<u>Combination of domain for the function is the following union:</u>

  • (-9, 2]∪ (-2, 1]∪(1, 7)  = (-9, 7)

<u>Group of answer choices:</u>

The domain is the depth interval (−26, 1).

  • incorrect as (-26, -9) interval is not covered in given function

The domain is the depth interval (−9, 1].

  • incomplete range

The domain is the set of times −9 < x < −2, −2 < x < 1, and 1 < x < 7.

  • incorrect as doesn't include x = -2 and x = 1

The domain is the time interval (−9, 7).

  • This is correct as it is same with the domain set we got above.

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Answer:

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Step-by-step explanation:

The domain of a rational function is all real numbers <em>except </em>for when the denominator equals 0.

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