Question

Given the function g(x) = 4x − 5, 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 smaller than the value of g(−4).
The value of g(2) is the same as the value of g(−4).
The values of g(2) and g(−4) cannot be compared.

Answer 1

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

Explanation:

Given:

g(x) = 4x - 5

To find g(2), we will substitute 2 for the value of x , that is

g(2) = 4(2) - 5

g(2) = 8 - 5

g(2) = 3

Also , to find g(-4) , we will substitute -4 for the value of x , that is

g(-4) = 4(-4) - 5

g(-4) = -16 -5

g(-4) = -21

Therefore : g(2) is greater than g(-4)