how do you find the domain and range of a hyperbola, parabola, linear, circular,exponantial and semicircle graph??????

any help appreacited.

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- May 12th 2008, 02:54 AMfareezuhdomain and range-test in two weeks yr 11
how do you find the domain and range of a hyperbola, parabola, linear, circular,exponantial and semicircle graph??????

any help appreacited. - May 12th 2008, 03:15 AMMoo
Hello,

Do you have examples ?

In general, how to find the domain of a function ?

- not defined at points which annulate a denominator

- not defined at points which make a number under a square root negative

.. I don't see any other for the moment at your level...

In order to find the range, the best to do is to graph the function...

It'd be easier to show you methods in examples since these methods highly depend on the function... - May 12th 2008, 03:28 AMfareezuhexamples
absolute value graphs-

find :

domain and range

if y(x)

parabola -domain&range

if y=xsquared-4

hyperbola xy=1

find domain & range

cubic curve y=xcubed

i understand that domain is the number of x values that the graph <sketch> will cover but what is the range and how do you find out

thanks - May 12th 2008, 03:31 AMMooQuote:

i understand that domain is the number of x values that the graph <sketch> will cover but what is the range and how do you find out

I found a method :

$\displaystyle y(x)=x^2-4$

-> $\displaystyle x=\pm \sqrt{y+4}$

Which is defined if $\displaystyle y+4 \geq 0$, this will give the range :-) - May 12th 2008, 03:40 AMfareezuhyes i lack mathamtical intelect
do cubics have a domain and range

??????? - May 12th 2008, 03:42 AMMoo