Question

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. 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) is smaller than the value of g(4).

Explanation:

To solve this, simply plug in the values in the given equation g(x)=8x-2.

g(-2)=8(-2)-2 -----> -18

g(4)=8(4)-2 ------> 30

here it is obvious that -18 is smaller than 30, therefore the value of g(−2) is smaller than the value of g(4).

Answer 2

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

Explanation:

Substitute the values into the equation...

g(-2) = 8(-2) - 2

g(-2) = -16 - 2

g(-2) = -18

and,

g(4) = 8(4) - 2

g(4) = 32 - 2

g(4) = 30

So, as you can see the value of g(-2) is smaller than g(4).

Hope this helps :)