O'Quinn Bolton
07/11/2024 · Elementary School
Determine the location and value of the absolute extreme values of \( f \) on the given interval, if they exist. \( f(x)=x^{\frac{1}{3}}(x-4) \) on \( [-125,125] \) B. There is no absolute maximum of \( f \) on the given interval. What is the absolute minimum value of \( f \) and its location on the given interval? Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The absolute minimum value is \( \square \) at \( x=\square \). (Use a comma to separate answers as needed. Type exact answers, using radicals as needed.) B. There is no absolute minimum of \( f \) on the given interval.
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The absolute minimum value is -3 at \( x = 1 \).
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