Question

Given g(x) = 5x + 1, compare and contrast the values of g(-3) and g(-4). Choose the statement that is true concerning the two values.A. the value of g(-3) is larger than the value of g(-4).B. the value of g(-3) is smaller than the value of g(-4). C. the value of g(-3) and g(-4) cannot be compared. D. the value of g(-3) is the same as the value of g(-4).

Answer 1

Problem:

Given g(x) = 5x + 1, compare and contrast the values of g(-3) and g(-4). Choose the statement that is true concerning the two values.

Solution:

Let g(x) = 5x+ 1, then:

g(-3) = 5(-3) + 1 = -15 + 1= -14

and

g(-4) = 5(-4) +1 = -20+1 = -19

Now, on the real line, the above numbers are represented like this:

Then we can conclude that

`g(-3)=\text{ -14}>-19\text{ = g(-4)}`

That is: the value of g(-3) is larger than the value of g(-4).

Then, we can conclude that the correct answer is : A