Question: (a) Suppose the graph in Figure 4.1.78 is that of a function g(x) , -1   x  2 . Sketch the graph of the derivative g 

(b) On the other hand, suppose the graph above is that of the derivative f 

of a function f . For the interval -1   x  2 , tell where the function f is

1. increasing; \(\left( -0.4,0.4 \right)\cup \left( 1.4,\,2 \right)\)
2. decreasing. \(\left( -1,-0.4 \right)\cup \left( 0.4,\,\,1.4 \right)\)
3. Tell whether f has any extrema, and if so, where they are.

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