Problem One: 1998-1999
Describe or draw a function, f, with
the following characteristics:
* f has domain (-infinity, 8)
* f has range (-infinity, 9)
* f(4) = 0; f(5) = 0; f(7)
= 0
* The limit, as x approaches
negative infinity of f(x), equals 9
* The limit, as x approaches
8, from the left, of f(x), equals negative infinity
* f(-1) = f(-3); f(-1)
> f(-2)
* f(1) = 1
* The limit, as x approaches
1 of f(x), is 4.
One Solution (others possible but similar):
