Group Project 1
Designing a Function
due June/28/2013
A function f (which you will design) satisfies the following conditions
(i) f is defined on the set {x : −2 ≤ x < 5}, except for at the point x = 2.
(ii) f is continuous on the set {x : −2 ≤ x < 5}, except for at the points x = 0, x = 2,
and x = 3.
(iii) limx→0 f (x) = 2 and f (0) = −1.
(iv) limx→2 f (x) = +∞ and f (2) is not defined.
(v) limx→3− f (x) = 1 and limx→3+ f (x) = 4.
Your task is to
1. write a “formula” for a function f that satisfies these conditions (you will probably
have to consider a piecewise definition. See prob. 33, 34 on page 60 for examples
of piecewise defined functions.)
2. graph your function.
Note, there are many possible answers to this question. Each group will come up with its
own function. Each group should submit one solution (on paper) with all group members’
names listed.
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