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

Answer 1

A.


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

Answer 2

Answer: B. g(-13) = 20

Explanation:

Given : A function, g, has a domain (set of input values) : -20 ≤ x ≤ 5

and a range (set of output values) : -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6

Let's check all the options.

A. g(0) = 2 , which cannot be possible since g(0)=-2 (given) and in a function each input value corresponds a unique output.

B. g(-13) = 20 , which is true since -13 belongs to domain and 20 belongs to range of the function g.

C. g(-4) = -11 , which is not true since -11 does not belong to the range of the function.

D. g(7) = -1 , which is not true since 7 does not belong to the domain of the function.