book Maths Puzzle Numerical Ability

The figure show the graph of the polynomial function y = f(x). For which of the values k = 0, 1, 2, or 3 will the equation f(x) = k have complex roots.

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Please help! I don't know how to set-up this problem.

A rock is dropped into a well, and 3 seconds later the sound of its splash is heard. How deep is the well? Assume that soun two numbers differ by 18. Four times the smaller is 57 more than the larger. Find the numbers.