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14 Mar 2020
Let
, where f is the function whose graph is shown.
Evaluate
and
.
On what interval is g increasing?
Where does g have a maximum value?
Sketch a rough graph of g.
![](data:image/png;base64,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)
Let, where f is the function whose graph is shown.
Evaluate
and
.
On what interval is g increasing?
Where does g have a maximum value?
Sketch a rough graph of g.
Irving HeathcoteLv2
29 May 2020