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24 Mar 2020
Let
, where f is the function whose graph is shown.
At what values of x do the local maximum and minimum values of g occur?
Where does g attain its absolute maximum value?
On what interval is g concave downward?
Sketch the graph of g.
![](data:image/png;base64,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)
Let, where f is the function whose graph is shown.
At what values of x do the local maximum and minimum values of g occur?
Where does g attain its absolute maximum value?
On what interval is g concave downward?
Sketch the graph of g.
Beverley SmithLv2
14 May 2020