Question

How to find Domain and range of any given function ?

Answer 1

You have to find when the function is undefined or doesn't produce real numbers to find the domain. The range is a bit trickier, but another method is to use the graph of the function

Answer 2

Sir please help in details

Answer 3

i am totally confused by reading multiple books, and finally i am totally confused. Plz help

Answer 4

(x,y)
x=domain
y=range

Answer 5

@nincompoop

Answer 6

@math>philosophy

Answer 7

@math>philosophy

Answer 8

@math>philosophy

Answer 9

plz plz plz

Answer 10

I don't think he is gonna come..

Answer 11

i beg for HELP

Answer 12

PLZ PLZ PLZ HELP

Answer 13

to find the domain , you need to find what cant be an input and exclude that from the real numbers, to find the range take the inverse of the function and do the same thing to the inverse

Answer 14

it is really a lot easier to answer a question like this with a specific example. it depends almost entirely on the given function

Answer 15

for example, if you have a trigonometric function like \(\sin(x)\) whose domain is all real numbers and whose range is \([-1,1]\) you have to know something about the function to start
even more so with a function like \(\arcsin(x)\) whose domain is \([-1,1]\) and whose range is \([-\frac{\pi}{2},\frac{\pi}{2}]\)

Answer 16

correct, the way I explained was a general way that assumed the function was 1 to 1

Answer 17

so there is not one mathematical method "find the domain" or "find the range"
the real truth is that the domain is supposed to be part of the definition of the function to begin with, so the question "find the domain" is in fact inaccurate

Answer 18

it would be much more enlightening to ask "find the domain and range of \(f(x)=\frac{x-1}{x+1}\) or something more specific

Answer 19

is it applicable to each type of functions ?

Answer 20

?