Question

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

Answer 1

Based on the information given, we know that the domain of g is -20 ≤ x ≤ 5 and the range is -5 ≤ g(x) ≤ 45. We also know that g(0) = -2 and g(-9) = 6.

A. g(-4) = -11: This statement could be true or false, as there is not enough information to determine its validity.

B. g(0) = 2: This statement is false, since we know that g(0) = -2.

C. g(7) = -1: This statement could be true or false, as there is not enough information to determine its validity.

D. g(-13) = 20: This statement is false, since -13 is outside the domain of g (-20 ≤ x ≤ 5).

Explanation:Therefore, the statement that could be true for g is A. g(-4) = -11 or C. g(7) = -1.