Question 1180170
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<pre>

If and only if the discriminant of the quadratic function is NEGATIVE


    d = b^2 - 4ac = (3k)^2 - 4*9*k < 0


    9k^2 - 36k < 0

     k^2 - 4k < 0

     k*(k-4) < 0

     0 < k < 4.


               A  N  S  W  E  R  


   +-------------------------------------------+
   |     the given graph has no x-intercepts   |
   |             for  0 < k < 4.               |
   +-------------------------------------------+

</pre>

Solved, answered and explained.