The tiny town of Twinpolypeaks is located next to a lake, both of which are in between two mountain peaks. The profile of the landscape can be modeled by the function
Sketch the graph of the profile of the landscape. Use an appropriate domain.
The function has roots of
, , , and .
The leading coefficient is negative.
If the width of the lake is captured in the profile of the landscape, approximately how wide is the lake?
Where is the curve significantly below the
Approximately how wide is the town if there is nothing above
feet over sea level?
What portion of the curve seems to be between the two 'mountains'?