domain and range Definition and 72 Threads

define the natural domain and range for f(x,y) = 1/sqrt(x^2-y) I get D= {(x,y)|x^2-y>0} same as saying y can not equal x^2 R= {(x,Y)|f>0} can someone tell me if I've approached this correctly?

I'm doing some exam revision and there's a few questions on finding the domain and range of functions of 2 variables. With a function of 1 variable I know that the domain and range is just finding the max and min x value, and the max and min y value. With a function of 2 variables I am...

Domain and range in ovals--what's this called? I was helping my friend with his math homework. He's in an intermediate algebra and is working on domains and ranges of functions. He came to me for help with this method of describing domains and ranges of functions using two ovals--one listing...

Write down the domain and range of the function g(x) = 1 / ((9 - x)2) Please enter your answer as a list [in brackets], using inequalities e.g. a domain (for x) of (-¥, 2) and a range (for g(x)) of (2, 5] may be entered as: [x < 2, 2 < g(x) and g(x) <= 5] I don't get it??

Identify the domain and range for the function f= {(x,y) \in \mathbb{R} x \mathbb{R}:y=\chi _{\mathbb{Z}}(x)} f={(x,y)\in \mathbb{R} x \mathbb{R}:y=\frac{e^x + e^{-x}}{2} How do I determine the correct results. I am not really understanding the terminology.

Homework Statement y = \frac{1}{(x-1)(x+2)} find out the domain and range ans: y<= -4/9 or y>0 x~E~R~-\{-2,1\} The Attempt at a Solution I know the solution and I used this methoD: y(x^2 + x -2) =1 (where y\neq0 ) when x is real, the discriminant y^2...

Homework Statement (1/(x+7))-5 find the domain and range. im having trouble graphing this one on my calculator, because when i zoom out the graph looks a lot different than when i zoom in. i think i have an answer though, so i need a quick check. domain: none (infinite) rangE: 0 to -10?

Homework Statement State if the following is a function. If yes, write domain and range. A. {(x,y): y=(x^1/2) ; x,y are real numbers and x>0} B. {(x,y): y^2=x ; x is real numbers and x>0} Homework Equations A relation is called function if each element of the domain...

Homework Statement I don't really know how to ask this, so I'll get straight into an example. x:x\in(-\infty,\infty) but x\neq1 x:x\in(-\infty,1)\cup(1,\infty) what is the difference between these two intervals? Homework Equations The Attempt at a Solution

I'm having a bit of trouble grasping the domain and range of functions of 2 variables. Does anyone know of any helpful tutorials that will help me get the hang of this concept? Any help appreciated.

I was just wondering if you could write a functions domain and range with a set? Would it be something like D: {x \epsilon \mathbb{R} | any condtitions} R: {f(x) \epsilon \mathbb{R} | any condtitions} for any function f(x)?

Find the domain & range of the function. 2x^2 + 4x - 3 I attempted to solved doing the following 2x^2 + 4x = 3 x^2 + 2x = 3/2 (divided by two) (x+1)^2 = 5/2 (completed the square & added one to both sides) (x+1)^2 - 5/2 = 0 So I put the range was (-5/2, infinity), but the book has...

Hey here is the question has a few parts to it. Let f(x)= (x-1)^1/2 and g(x)= 2x^2/x^2+1 a) State the domain and range of f using interval notation. b) State the domain and range of g using interval notation. (Hint: At x=0, g is 0. For x(cannot=0) it helps to write g(x)=2/1+1/x^2 and...

Say I define a function f by sending a well ordered set X to the least element in X. For example, if N is the natural numbers with the usual ordering, then f(N)=1. This function seems to be well defined. I guess its domain is the set of well ordered sets, but this sounds strange. Whats even...

Please can anybody help me on this two functions it confuse me because has two and thee variables. Find the Domain and Range of each of the following functions a)f(x,x)=\sqrt{\frac{x-y}{x+y}} b)f(x,y)=\[in{(x^2+y^2+z^2)}

diagram: http://img.photobucket.com/albums/v629/ussjt/math3.jpg A thin equilateral triangular block of the side length 1 unit has its face in the vertical xy-plane with vertex V at the origin. Under the influence of gravity, it will rotate about V until a side hits the x-axis floor (see...

A weird domain and range? anybody up for a challenge y=x^2-2x+1 / x^2-x-2 try it on the gfx calculator and check if this domain and range is right i wrote Domain ( -infinity, -1 ) union (-1,2) union ( 2, infinity) range (-infity, 0) union (-1 to infity) is there an easier way to...

can anyone help me find the natural domain and range of f(x) = 1 - log_3x *the whole equation is under a square root sign, its just a couldn't latex it

domain and range question! Hi, I have a quick domain and range question, I have placed my answer below the question. I'm having doubts that it is right! Can someone please help me verify it. Thanks in advance! _____ Let f(x)= x² + 2 and g(x) =√1-x²...

y=logx4 state domain and range, x-intercept, vertical asymptote. I have never seen a question like this before. Please help me!

I was given the equation y=2(3^x)-1 and was told state the domain, range, x-intercept(s) y-intercept(s) and asymptote(s) I graphed the equation and I think the x-intercept is -0.63 I subbed in 0 for the x value on the graphing calculator and got y-intercept=1 the vertical asymptote is the...

If f(x)=x/(x-1) and g(x)=1/(x+3) what is the domain and range of (f.g)(x) and (f/g)(x)? Are the domains the same? I got: Domain of f is all x not equal to 1 or -3. The range is all real numbers. x/(x-1)(x+3) Domain of g is all x not equal to 1, but it can't be equal to -3 either because...