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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.

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MrRoyalidn

The statement that could be true for g is g(-13) = 20

How to select the statement that could be true for g?

The complete question is added as an attachment

The given parameters are:

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

Next, we test the options one after the other.

We have:

Option 1:

g(7) = -1

This means that x = 7 and g(x) = -1

The value x = 7 is outside the domain: -20 ≤ x ≤ 5

So, g(7) = -1 is false

Option 2:

g(-13) = 20

This means that x = -13 and g(x) = 20

The value x = -13 is within the domain: -20 ≤ x ≤ 5 and the value g(x) = 20 is within the range: -5 ≤ g(x) ≤ 45

So, g(-13) = 20 is true

Hence, the statement that could be true for g is g(-13) = 20

Read more about domain and range at:

https://brainly.com/question/2264373

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