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.

A.) The value of g(−2) is larger than the value of g(4)
B.) The value of g(−2) is the same as the value of g(4)
C.) The value of g(−2) is smaller than the value of g(4)
D.) The values of g(−2) and g(4) cannot be compared

Answer 1

Option C is correct.

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

Explanation:

Given the function:
`g(x) = 8x -2` ......[1]

Compare and contrast g(-2) and g(4).

find g(-2);

substitute the value of x = -2 in [1] we get;

`g(-2) = 8(-2) -2 = -16-2 =-18`

Similarly ,

For g(4);

Substitute the value of x = 4 in [1];

`g(4) = 8(4) -2 = 32-2 =30`

Compare g(-2) and g(4);

g(-2) = -18

g(4) = 30

then; g(-2) < g(4)

As you can see the value of g(4) is larger than the value of g(-2) or in other words, we can say that the value of g(-2) is smaller than the value of g(4)