Thursday

March 5, 2015

March 5, 2015

Posted by **Anonymous** on Tuesday, September 1, 2009 at 8:32pm.

How do I find the domain and range of a function? (more preferably range...I'm okay but shaky on domain)

Ex: f(x)=1/(x^2)

Also, how do you write the domain and range with notation? Like when you use symbols like

(-infinity, 0) U (0, infinity)

Specifically, how do I write "All real #'s where x cannot equal..."?

One more thing: what does [[x]] mean? The symbol looks like two brackets very close together or something.

Thank you very much!

- Calculus -
**MathMate**, Tuesday, September 1, 2009 at 9:05pmDomain is the set of valid values as input to the function. In the particular example,

f(x)=1/(x^2)

x can take on all values except ±∞ and 0.

So the domain is (-∞,0)∪(0,+&infin)

which means that the domain can take on all values from (but excluding) -∞ to (but excluding) zero, and from (but excluding) zero to (but excluding +∞.

The range is the interval of possible values when the function is evaluated. In the particular example, the range is (0,+∞). The evaluated function cannot take on negative values as x is squared.

Numerous articles are available for the description of interval notation. Basically, an interval is described by the lower and upper limits, separated by a comma. If the lower limit is included in the interval, a square left bracket is used. If it is to be excluded, a praenthesis (round bracket) is used. The same goes for the upper bound (right bracket.) For example,

[5,+∞) ranges from and including 5 to but excluding infinity.

For more detailed descriptions, see:

http://en.wikipedia.org/wiki/Interval_(mathematics)

http://id.mind.net/~zona/mmts/miscellaneousMath/intervalNotation/intervalNotation.html

http://en.wikipedia.org/wiki/Domain_of_a_function

I have not come across the [[x]] notation. Please give more information or context of its use.

- Calculus -
**Anonymous**, Tuesday, September 1, 2009 at 9:30pmThanks for the domain and range info!

Regarding the [[x]] symbol, the function is simply y = [[x]]. There isn't a symbol like that on my calculator (TI-89).

I want to say that this may be the same as brackets, which I believe means absolute value. But what would be the difference between y = lxl and y = [x]?

I'm honestly not sure either...

- Calculus -
**MathMate**, Tuesday, September 1, 2009 at 10:06pmSorry, I still don't have more information on [[x]]. If you have the answer or someone else has, please post and share the information.

**Answer this Question**

**Related Questions**

precalculus check immediately - suppoe f is a function with domain [1,3]and ...

Math - HELP PLEASE!!! I'm having some trouble with this question on my Maths hw...

alg 1 - Quadratic graphs and their properties: Identify the domain and range of ...

math (2nd Try) - You have 6 cups of sugar. It takes 1 cup of sugar to make 24 ...

Math - You have 6 cups of sugar. It takes 1 cup of sugar to make 24 cookies. The...

Math (pre-calculus) - Hey! I have a domain and range question! I don't remember ...

Algebra - 23. The ___ axis represents the independent variable. X? 21. Name the ...

algebra - Find the domain and range of the relation and determine whether it is ...

math - questions involving domain and range... 1. Find the domain of the ...

Algebra (Last Question) - I have - to graph each relation - decide if it is a ...