Using some form of set notation, indicate the domain and range of each function defined below:

f(x)=-3x^2 Domain: Range

f(x)= 5x-7 Domain: Range:

f(x)= -2

________

7 - x

Domain: Range:

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- March 5th 2006, 01:30 PMbatman123Set Notation
Using some form of set notation, indicate the domain and range of each function defined below:

f(x)=-3x^2 Domain: Range

f(x)= 5x-7 Domain: Range:

f(x)= -2

________

7 - x

Domain: Range: - March 5th 2006, 02:55 PMThePerfectHackerQuote:

Originally Posted by**batman123**

has a meaning for any . Now you want it in set notation, one way is to write implying that is any REAL number. Another way is to assign the interval . Meaning could be as small as you wish and as large as you wish. Now the range is the value, notice that is always a negative number thus, . Notice the square bracket indicating that can be equal to 0 which is true.

The function is defined for any thus we write (let me just remind you then infinity is not a number even I use it does not mean that it is). If you graph this line you will see the the value is anything thus we write .

The function is not defined for all it is undefined for thus, cannot be 0, thus we write (this might be tricky) - the circle bracket indicate which we are trying to state. If you graph this function, you will see the always has a value except for (because the equation has not solution). But besides for that always has a value thus we write, .

Let me give you a more challenging one,

- March 5th 2006, 03:52 PMtopsquarkQuote:

Originally Posted by**ThePerfectHacker**

*never a positive*number thus, .

-Dan

(Hey, usually I'm the guy getting the set notation wrong! :D) - March 5th 2006, 04:05 PMbatman123Thanks!
Thanks Guys

- March 5th 2006, 04:14 PMThePerfectHackerQuote:

Originally Posted by**topsquark**

- March 5th 2006, 09:45 PMearbothQuote:

Originally Posted by**ThePerfectHacker**

... it is undefined for because the division by zero is not allowed. Thus the domain is

Greetings

EB - March 6th 2006, 12:10 AMCaptainBlackQuote:

Originally Posted by**earboth**

the TeX string "\mathbb{R}".

RonL - March 6th 2006, 01:14 AMearbothQuote:

Originally Posted by**CaptainBlack**

Thanks for your hint. I've taken the symbol which I found in the "Latex-manual" of the forum. Maybe it would be nice to add those symbols to this manual. (Are there any \matbb{N}, or \mathbb{Z}, or ... too?)

Once again: Thanks.

Greetings

EB