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.
9(-13) = 20
B.
9(-4) = -11
c. 90) = 2
D. 9(7) = -1
​

Answer 1

A. g(-13)=20

Explanation:

For this question we should apply the discard method.

B. g(-4)=-11 can't be true because the range of g is [-5,45); it means that the function won't never take values minor than -5 or higher or equal to 45.

C. g(0)=2. This contradict what is said on the problem: g(0)=-2.

D. g(7)= - 1 This can't be true because the domain of g(x) is (-20,5), which means that the function is not defined in values minor (or equal to) than -20 or higher (or equal to) 5. So, g(7) does not exist.