Answer:
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
