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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g.

WILL GIVE 100 POINTS!

A. g(-4) = -11
B. g(7) = -1
C. g(0) = 2
D. g(-13) = 20

Respuesta :

A. g(-4) = -11

This statement is the only one that is consistent with the information provided about the function g. The other options (B, C, and D) are not possible because they either fall outside the domain of the function (x > 5 or x < -20) or produce a value outside the range of the function (g(x) < -5 or g(x) > 45).
semsee45

Answer:

D. g(-13) = 20

Step-by-step explanation:

Given information:

  • Domain:  -20 ≤ x ≤ 5
  • Range:  -5 ≤ g(x) ≤ 45
  • g(0) = -2
  • g(-9) = 6

Option A, g(-4) = -11 cannot be true for g since the y-value of -11 is not in the given range.

Option B, g(7) = -1 cannot be true for g since the x-value of 7 is not in the given domain.

Option C, g(0) = 2 cannot be true for g since we have been given g(0) = -2.

Option D, g(-13) = 20 is true for g since the x-value of -13 is in the given domain, and the y-value of 20 is in the given range.

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