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You have to determine all x, for which f(x)>-2.

First, draw a horizontal line. that passes through the point (0,-2). This line intresects the graph of the given function in points (2,-2) and (8,-2). You can see that:

  • for 2<x<8, the graph of the function is above this horizontal line, then f(x)>-2;
  • for x<2 and x>8, the graph of the function is below this horizontal line, then f(x)<-2;
  • for x=2 and x=8, the graph of the function intersects this horizontal line, then f(x)=-2.

Answer: correct choice is D.

User Grimxn
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