What is the absolute minimum value of on the closed interval ?

Answer and explanation

Correct answer: A.

  1. Step 1: Critical points: . In , critical point is .
  2. Step 2: Test endpoints and critical point: , , .
  3. Step 3: The absolute minimum is .
Answer
.
Why not the others: is the endpoint value at ; is the maximum value at the boundary ; and represents an arithmetic evaluation error.

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