Quiz 8   Name:

Sketch  possible f(x)  on the same set of axes.  It is important that your function is  increasing/decreasing in the correct places and concave up/down correct places.  Mark these regions and the Max/Min and inflection points.

Needs["Graphics`"]
f[x_]  =  x + Cos[x^2 - x];
\(\(Plot[{\(f'\)[x]}, \ {x, \ 0, 2.5}, 
Frame -> 
          True, 
GridLines -> 
          Automatic, 
PlotStyle -> 
          AbsoluteThickness[3], 
PlotRange -> {\(-5\), 
            5}, 
PlotLegend -> {"f'(x)"}
];\)\)