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The graph at right 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?

  1. Estimate .

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

  1. 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?

  1. At what -value(s) does have a minimum valu​e?

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

Continuous curve labeled, f double prime of x, coming from left just below x axis, turning at the following approximate points, (0, comma 0), (1.5, comma negative 0.25), (3, comma 0.5), (5, comma negative 1), continuing up & right, passing through the x axis at 2, 4, & 6.