Question

(02.02 MC)

Given the function g(x) = 8x − 2, compare and contrast g(−2) and g(4). Choose the statement that is true concerning these two values.

Group of answer choices

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

The value of g(−2) is the same as the value of g(4).

The value of g(−2) is smaller than the value of g(4).

The values of g(−2) and g(4) cannot be compared.

Answer 1

The value of g(-2) and g(4) cannot be compared because they are two different functions with two completely different values.

Explanation:

So, you plug in -2 in the function of the x in g(x) = 8x - 2

Then, you multiply 8 by -2 in g(-2) = 8x - 2

8 × -2 would be -16

Afterwards you subtract -16 by 2 in g(-2) = -16 - 2

The function of g(-2) is -14 in g (x) = -14

You plug in 4 in the function of x in g(4) = 8x - 2

g(4) = 8 (4) - 2

Then, You multiply 8 by 4 which will give you 32 in

g(4) = 32 - 2

Lastly, you subtract the 32 by 2 and the function of the answer would be 30 in g(x) = 30