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. (5 points)

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

Answer 1

To compare g(2) and g(-4), evaluate the function for each value. The correct statement is that the values cannot be compared.

Step-by-step explanation:

To compare and contrast g(2) and g(-4), we need to evaluate the function g(x) = 4x - 5 for x = 2 and x = -4.

For g(2), we substitute x = 2 into the function:

g(2) = 4(2) - 5 = 8 - 5 = 3.

For g(-4), we substitute x = -4 into the function:

g(-4) = 4(-4) - 5 = -16 - 5 = -21.

Now, we can compare the two values:

• The value of g(2) is 3.
• The value of g(-4) is -21.

From this, we can conclude that the statement D. The values of g(2) and g(-4) cannot be compared. is the correct choice.