Help please. Find the RANGE of the function with two variables: f(x,y) = sqrt(x-y^2). 10 points best answer.
Favorites|Homepage
Subscriptions | sitemap
HOME > > Help please. Find the RANGE of the function with two variables: f(x,y) = sqrt(x-y^2). 10 points best answer.

Help please. Find the RANGE of the function with two variables: f(x,y) = sqrt(x-y^2). 10 points best answer.

[From: ] [author: ] [Date: 12-09-11] [Hit: ]
The range is the set ℝ⁺ of all positive real values,Indeed for any k ≥ 0 there exist (x,......
The answer key says [0, infinity). Please describe and show to me the process of finding this. Finding the range of a function will be a question on my midterm tomorrow.

-
Consider the parabola x = y^2
The curve divides the xy-plane in two regions
Domain of the function is the region D containing the symmetry axis of the parabola
D = {(x,y)∈ℝ² | x ≥ y^2}

The range is the set ℝ⁺ of all positive real values, included zero

Indeed for any k ≥ 0 there exist (x,y) such that √(x - y^2) = k
x - y^2 = k^2

all the points of the parabola having equation
x = y^2 + k^2
1
keywords: variables,with,of,answer,RANGE,two,please,function,best,Help,10,Find,points,sqrt,the,Help please. Find the RANGE of the function with two variables: f(x,y) = sqrt(x-y^2). 10 points best answer.
New
Hot
© 2008-2010 http://www.science-mathematics.com . Program by zplan cms. Theme by wukong .