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

Answer 1

C

Explanation:

C can be true, because -13 is inside the defined domain, and 20 is inside the defined range.

A cannot be true, because -11 is outside of the defined range.

B cannot be true, because 7 is outside of the defined domain.

D cannot be true, because g(0) has already a different assigned result value : -2. and in a function no x can have multiple assigned result values.