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

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: B. g (-13) = 20

Step-by-step 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.