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.

WILL GIVE 100 POINTS!

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

Answer 1

D. g(-13) = 20

Explanation:

Given information:

• Domain: -20 ≤ x ≤ 5
• Range: -5 ≤ g(x) ≤ 45
• g(0) = -2
• g(-9) = 6

Option A, g(-4) = -11 cannot be true for g since the y-value of -11 is not in the given range.

Option B, g(7) = -1 cannot be true for g since the x-value of 7 is not in the given domain.

Option C, g(0) = 2 cannot be true for g since we have been given g(0) = -2.

Option D, g(-13) = 20 is true for g since the x-value of -13 is in the given domain, and the y-value of 20 is in the given range.