No Calculator: Given f(x)=3×2+13x+5   a) (10pts)  Determine…

No Calculator: Given f(x)=3×2+13x+5   a) (10pts)  Determine whether the graph of f(x) opens up or down (explain why), find the axis of symmetry, the vertex, and any intercepts.  Then graph f(x).     b) (2pts) On what intervals is f(x) increasing/decreasing?    c) (2pts) Find the domain and range of f(x).