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. a. g(0) = 2 b. g(-13) = 20 c. g(-4) = -11 d. g(7) = -1

B.   g(-13) = 20

Step-by-step explanation:

Given : A function, g, has a domain (set of input values) : -20 ≤ x ≤ 5

and a range (set of output values) : -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6

Let's check all the options.

A.   g(0) = 2 , which cannot be possible since g(0)=-2 (given) and in a function  each input value corresponds a unique output.

B.  g(-13) = 20 , which is true since -13 belongs to domain and 20 belongs to range of the function g.

C. g(-4) = -11 , which is not true since -11 does not belong to the range of the function.

D.   g(7) = -1 , which is not true since 7 does not belong to the domain of the function.

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