2011-2012
Problem 1: Limits
Describe or draw a function, f(x), with the following characteristics:
- f(x) has domain (–∞,8)
- f(x) has range (–∞,9)
- f(4) = 0; f(5) = 0; f(7) = 0
- The limit, as x approaches –∞, of f(x) equals 9
- The limit, as x approaches 8 from the left, of f(x) equals –∞
- 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):
