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D) -3

Step-by-step explanation:

we are given that f(x) = k has 3 real solutions.

Recall that graphically, this simply means that if we draw a  horizontal line y = k, the line will intersect the graph as 3 distinct locations.

Looking at the graph below (see attached picture for clarity), we can see that the only place where any horizontal line y = k will intersect the graph at 3 distinct points is between the blue lines pictured. (i.e approximately between y = -4 and y = -2.5)

If we look at all the choices, the only value for k  that falls between the blue lines is -3 (answer D). All the other values for y fall out outside the blue lines and hence do not satisfy the condition of having 3 real solutions

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: