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The graph below shows . Use it to answer the following questions.

  1. Over what interval(s) is concave up?

    is concave up when is positive. Where is the given graph positive?

  2. Estimate .

    This is asking for the slope of the given graph at .

  3. At what -value(s) does have a point of inflection?

    This is where changes sign. Where does the given graph change from negative to positive and vice versa?

  4. At what -value(s) does have a minimum value?

    f ′ has a minimum where its slope changes from negative to positive.
    The slope of is . So where does change from negative to positive?