Directions:
In the space below, draw a careful sketch of a function f(x) such
that:
The limit as x approaches negative infinity of f(x) is 5;
The limit as x approaches positive infinity of f(x) is negative
infinity;
f(x) is decreasing for x less than or equal to -2;
f(x) is increasing when x is between 1 and 5;
There is a (local) maximum at x=5.
f(-2)=0=f(6)
The limit of f(x) as x approaches 1 from the left is positive
infinity;
The limit of f(x) as x approaches 1 from the right is -1.
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1997, Harel
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