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

Answer 1

The answer is A. g(-13)=20.

Explanation: The x value, -13 is within the given the domain and the g(x) value 20, is also within the range.

Although this also applies to g(0)=2, it was already stated that g(0)=-2. An x value cannot be assigned to more than one g(x) or y value.