For the following exercises, draw a graph that satisfies the given specifications for the domain x=[−3,3]. The function does not have to be continuous or differentiable.
216.
f(x)>0,f′(x)>0 over x>1,−3<x<0,f′(x)=0 over 0<x<1
217.
f′(x)>0 over x>2,−3<x<−1,f′(x)<0 over −1<x<2,f″(x)<0 for all x
218.
f″(x)<0 over −1<x<1,f″(x)>0,−3<x<−1,1<x<3, local maximum at x=0, local minima at x=±2
219.
There is a local maximum at x=2, local minimum at x=1, and the graph is neither concave up nor concave down.
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