Question 1124258
The known degree tells you the basic shape and the basic ends behavior.  The given roots tells you where the function crosses the x-axis.  


You may be able to assume or choose a positive leading coefficient and the function can start as  {{{f(x)=(x-2)(x-1)(x+5)(x+8)}}}.  You can choose whatever constant factor you want, but NOT ZERO.  The roots would be unaffected.


Since degree 4 is EVEN  You expect unbound left and right to be Either both increasing; OR both decreasing.


You can use a graphing tool to find what the graph looks like if you want to avoid hand-drawing.