anonymous
  • anonymous
Can someone explain "domain" and "range"? (When talking about functions
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
"Domain" is the set of all possible inputs. Any values that don't give you a nonexistent answer (division by 0, etc) when you plug them into the function. "Range" is the set of all possible outputs. Hope this helps!
anonymous
  • anonymous
could u explain a bit further... thanks :)
Hero
  • Hero
domain - the set of x "input" values of a function that produces a valid y range - the y "output" values that correspond with given set of x values

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anonymous
  • anonymous
Sure! What are you confused about? :)
anonymous
  • anonymous
OH thanks Hero! And Zxen too:)
Hero
  • Hero
You're welcome
anonymous
  • anonymous
do you have to have more than one x,y point to have a function?
Hero
  • Hero
I don't think a point by itself can represent a function....Well, I've never seen it....you would normally write f(x) normally represents some expression in terms of x, so it would have a certain amount of inputs and outputs. Can you write a point in the form of an expression? I don't think so.
anonymous
  • anonymous
Nope. Most functions have more than one, but as long as each x value corresponds to one and only one y-value, it's a function. :) Do you have a particular problem you need help with, or is this just general stuff?
Hero
  • Hero
So from my point of view, I'd say you can't represent a point as f(x). That being said, you can restrict values of x in a function.
anonymous
  • anonymous
new school, new math course :P Want to see if I can do most of the problems by myself though. Those were just some terms that tripped me up.
anonymous
  • anonymous
logging off and returning to my books %0 Thanks guys!
anonymous
  • anonymous
Anytime! :D
anonymous
  • anonymous
You can have a function of only one point. A function is just a relational mapping of input values and output values where each input value is mapped to one (and only one) output value. So for example the function: \[f_1(x) = \cases{\begin{array}{ccc}4 & \text{if} & x = 1\end{array}}\] Would be an example of a function which has only one element in its domain: {1} and only one element in its range: {4}. If you were to graph this function you'd just have that one point. Since each element in the domain maps to only one element in the range, the relation satisfies the requirements of a function.

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