Let C be the curve defined by xy=−4. Which of the following statements is true of curve C at the point (−2,2)?

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  C.  It is increasing and concave up because y′>0 and y′′>0.

Step-by-step explanation:

The curve C is a hyperbola in the 2nd and 4th quadrants. As such, it has no maximum or minimum. It is increasing at an increasing rate at the point (-2, 2), so matches the description of choice C.

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