The statement that could be true for g is g(-13) = 20
<h3>How to select the statement that could be true for g?</h3>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:
<u>Option 1:</u>
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
<u>Option 2:</u>
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
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