Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4). choose the statement that is true concerning these two values.
a. the value of g(-2) is smaller than the value of g(4).
b. the value of g(-2) is the same as the value of g(4).
c. the values of g(-2) and g(4) cannot be compared.
d. the value of g(-2) is larger than the value of g(4).

D. The value of g(-2) is larger than the value of g(4).

Step-by-step explanation:

Given : Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4).

To find : Choose the statement that is true concerning these two values.

Solution : We have given that

g(x) = -3x + 4

g (-2) = -3 ( -2) + 4.

g (-2) = 6 + 4

g (-2) = 10 .

Now,

g (4) = -3 ( 4) + 4.

g (4) = -12 +4 .

g (4) = -8.

g (-2) > g (4)

10 > -8 .

Therefore, D. The value of g(-2) is larger than the value of g(4).