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anonymous
 4 years ago
construct a function F(x) with the following 5 properties:
1. the domain of f(x) is [3,2]U[3,5)
2. f(4) = 4
3. f(2)  f(3) =0
4. f(x) <= 4 for 4<=x<=5
5. f(3) < 0
any ideas?
anonymous
 4 years ago
construct a function F(x) with the following 5 properties: 1. the domain of f(x) is [3,2]U[3,5) 2. f(4) = 4 3. f(2)  f(3) =0 4. f(x) <= 4 for 4<=x<=5 5. f(3) < 0 any ideas?

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Creating a Function is entirely up to you, you can introduce anything you like. For Example, \(f(x) = x, x \in [3,2] \cup [3,5)\) \[\]Now in this function you couldn't say anything to me, it's my function and I have the right to restrict to any kind of domain I want. The only thing you need to worry about while creating a function is that you don't ignore the basic definition of the function i.e no element in domain can have more than 1 image in range.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0it needs to include all the properties listed, so it can't be anything wanted. All of those properties go into figuring out the equation

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Do you have any idea about piecewise functions? I think you can create a piecewise function for this. Something like this maybe, \[f(x) = \left\{\begin{array}{r} f(x) = 4, & x=4 \\f(x) = 3, & 4< x \leq 5 \\f(x) = 1, &x =3,2\\ \end{array} \right.\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Now you don't have the right to question my function, I can bend it anyhow I want. Also in your problem no condition mentions that the function should be continuous or differentiable. So, I created a discontinuous function as they are easy to formulate.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0well i have to be able to graph this function, so i think that it needs to be a more conventional function a piece wise might work but not the way you have written it

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0It will work, you need only graph it. dw:1327387611159:dw
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