Question 181612
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What you don't say is whether the given domain, *[tex \LARGE \{0, 2, 4, 6\}] is a complete description of the domain of the desired function or if these are just a representative sample of the values in the domain of the function.


Notice that if you multiply any of the domain values by one-half and then add 3, you get the corresponding value of the function in the description of the range.


So, if *[tex \LARGE \{0, 2, 4, 6\}] is the entirety of the domain, then:


*[tex \Large \text{          }\math  f(x) = \frac {1}{2}x + 3\ \ \  \forall x \in \{0, 2, 4, 6\}] 


Otherwise, you can simply say:


*[tex \Large \text{          }\math  f(x) = \frac {1}{2}x + 3] 




John
*[tex \LARGE e^{i\pi} + 1 = 0]
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