Question

Does any one have a clearer explanation on how to find domain and range?

Answer 1

In Cartesian grids (x and y) plane - domain means the interval at which the x components are in the permitters of a function. The range is the interval of y values of a function.

Answer 2

when we look for domain we are really looking for what the domain cant be, when I say cant, I mean like 1/x, x cant be 0. sqrt(x) x cant be less than 0. ln(x), x cant be negative.

Answer 3

so with something like \[1/\sqrt{x+1}\]

we cant devide by 0 and x cant be negative so sqrt(x+1) > 0

Answer 4

domain is simply the values of x for which the function is defined so you must know the domain of standard functions like log operate only on positive values etc and in case of composite functions find the domain of each function inddividually and then find the intersection of all

Answer 5

so we would find the domain of sqrt(x+1) which is x+1 >= 0 x >= -1 so we have (-1,infinity) as our domain but sqrt(x+1) cant equal zero, so we must remove -1 or we would have 1/sqrt(-1+1) = 1/sqrt(0) = 1/0 ... no good.

Answer 6

just remember when we find the domain, we are looking for what x cant be, and excluding that from the "universe" we are working in(real numbers for the most part)

Answer 7

for range find the inverse or u can say express x in terms of y this method holds good only when the function is one one onto otherwise you have find the monotonocity and then simply put the extreme values of the domain in the function u ll get the extreme values of range

Answer 8

if he does not understand domain I doupt he will understand monotonocity and extreme values yet.

Answer 9

u must know the graph of some frequently used functions brfore solving thedomain range problems that definetly helps u like logx

Answer 10

domain of log is clearly the positive values of x
because graph only exist in positive x

Answer 11

the graph is defined from the function or equation. All that is needed is an understanding of the equation. I dont think about graphs at all. we mainly have problems with 1/x, ln(x) and sqrt(x) . get a good feel for these functions and you will know the answer for domain problems.

Answer 12

for the graph i always understtof the domain as the x axis and the range as the y.

Answer 13

correct if this is the way we lable them, but you for sure could have a t axis and a q axis and depending on how the function is defined one will be domain and the other range.

Answer 14

we are getting to deep