The function has a local minimum value of . What is ?

Answer and explanation

Correct answer: B.

  1. Step 1: Set , so the critical points are and . The sign of goes minus to plus at , so that is the minimum. Step 2. . Setting gives . **Answer: . Why not the others:** ignores the shift, one of the other values ( or ) miscalculates , and is not a critical point.

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