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.
A. The value of \( g(-2) \) is smaller than the value of \( g(4) \).
B. The value of \( g(-2) \) is the same as the value of \( g(4) \).
C. The values of \( g(-2) \) and \( g(4) \) cannot be compared.
D. The value of \( g(-2) \) is larger than the value of \( g(4) \).
Answer (3)
g(x) = -3x + 4 g(-2) = -3 x (-2) + 4 = 6 + 4 = 10 g(4) = -3 x 4 + 4 = -12 + 4 = -8
Therefore, D is the correct answer.
D. The value of g(-2) is larger than the value of g(4). ;
After evaluating the function at g ( − 2 ) and g ( 4 ) , we find that g ( − 2 ) = 10 and g ( 4 ) = − 8 . Thus, the value of g ( − 2 ) is larger than the value of g ( 4 ) . The correct answer is D.
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