Question

I have no idea what to do with this!

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.
Answer

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

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

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). ...?

Answer 1

By substituting the x-values into the linear function g(x) = 4x - 5, we find g(2) = 3 and g(-4) = -21. Therefore, the value of g(2) is larger than the value of g(-4).

Step-by-step explanation:

To determine the values of g(2) and g(-4) for the function g(x) = 4x - 5, we simply substitute the x-values into the function.

For g(2):

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

For g(-4):

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

Now, we can compare the two values:

The value of g(2), which is 3, is larger than the value of g(-4), which is -21.

Answer 2

The function given in the question is

g(x) = 4x - 5
When x = 2, then
g(2) = (4 * 2) - 5
= 8 -5
= 3
When x = - 4, then
g(-4) = (4 * -4) - 5
= - 16 - 5
= - 21
From the above deduction, it can be concluded that the correct option among all the options given in the question is the third option or "The value of g(2) is larger than the value of g(-4)". I hope that the procedure is clear enough for you to understand.