Question

Given the function g(x) = -3x + 4, compare and contrast g(-2) and g(4). Choose the statement that is true concerning these two values.
Choices:
The values of g(-2) and g(4) cannot be compared.
The value of g(-2) is the same as the value of g(4).
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).

Answer 1

First, find g(-2) and g(4).
g(-2)=(-3)(-2) + 4 = 6+4 =10
g(4)=(-3)(4)+4 = -12+4 = -8
Then, compare the results.
10>-8
g(-2) > g(4)
The value of g(-2) is larger than the value of g(4).