In a graph, how do I know if the domain is the set of all real numbers?
In a graph, how do I know if the domain is the set of all real numbers?
"Associate yourself with men of good quality if you esteem your own reputation. It is better to be alone than in bad company."- George Washington
When at every value of x (in real domain) the function is defined.
For example
f(x) = x^2
in here the function is defined et every value of 'x'.
another case
f(x) = x/{(x-2)(x-3)}
here at x=2 and x=3 , the function is not defined (division by zero). Hence the domain is all real x, except x=2 and x=3.
In a graph, around these points, the value of y will go to ±infinity.
Another example
y = (x)^(1/2)
Here when x<0, the function is undefined (complex) in real range. So the domain of the function is x ≥ 0. For this one - the graph simply does not exist in the negative domain.
“... mathematics is only the art of saying the same thing in different words” - B. Russell
To add to Subhotosh's comments,In a graph, how do I know if the domain is the set of all real numbers?
What is the definition of domain? It will be helpful to you to look it up.
Here’s the idea in a nutshell: it’s the allowable x values. For any points on a graph, the domain consists of the x values of those points.
All lines except vertical lines, for example, have domains that are all real numbers.
Thanks guys. Man I am not cut out for this math stuff. I want to magor in Political Science in college, so you could imagine, I'm not very good with numbers.
I'm trying my best to pass this course.
"Associate yourself with men of good quality if you esteem your own reputation. It is better to be alone than in bad company."- George Washington
You would need to understand poll-statistics - otherwise you won't be able to change your "stance" fast enough.....Originally Posted by ECD Hollis
“... mathematics is only the art of saying the same thing in different words” - B. Russell
[quote=Subhotosh Khan]You would need to understand poll-statistics - otherwise you won't be able to change your "stance" fast enough.....[/quote:1aymvmml]Originally Posted by "ECD Hollis":1aymvmml
Stance? Oh, I think I get you.
"Associate yourself with men of good quality if you esteem your own reputation. It is better to be alone than in bad company."- George Washington
Any decent program in political science program today contains a good bit of mathematics. Along with probability and statistics, game theory is important component of graduate study as well as rational decision theory.Originally Posted by ECD Hollis
“A professor is someone who talks in someone else’s sleep”
W.H. Auden
Probability and Statistics is an area I think I will do okay in. It's Algebra and Advanced Mathematics that gives me a hard time. It's like my mind doesn't work like that.Originally Posted by pka
"Associate yourself with men of good quality if you esteem your own reputation. It is better to be alone than in bad company."- George Washington
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