Concept:To evaluate f(−2), substitute −2 into the polynomial and simplify. Pay close attention to the powers of negative numbers.Explanation:Given: f(x)=3x3+4x2+x−8.Replace every x with −2:f(−2)=3(−2)3+4(−2)2+(−2)−8Compute each term step by step.(−2)3=−8, so 3(−2)3=3×(−8)=−24.(−2)2=4, so 4(−2)2=4×4=16.The remaining terms are (−2)−8=−10.Now add the results:f(−2)=−24+16−2−8First, −24+16=−8.Then, −8−2=−10, and −10−8=−18.Therefore, f(−2)=−18.Answer:f(−2)=−18, so the correct option is C.