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Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - What is the domain of f?  y - 2x > 0 y = 2x none of these y < 2x - The range of f is all z greater tha

Let   f(x, y) = √y - 2x.              NOTE: The y - 2x is all under the square root! - What is the domain of f?  y - 2x > 0 y = 2x none of these y < 2x - The range of f is all z greater tha

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter8: Polynomials
Section8.4: Zeros Of A Polynomial
Problem 31E
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Need help with my calculus 3 homework! All of this is one question

START OF QUESTION 1

Let   f(x, y) = √y - 2x.             

NOTE: The y - 2x is all under the square root!

- What is the domain of f? 

  1. y - 2x > 0
  2. y = 2x
  3. none of these
  4. y < 2x

- The range of f is all z greater than or equal to 

  1. y - 2x
  2. minus infinity
  3. -2
  4. 0

- The contours of f are

  1. a sheet falling off to zero
  2. not defined
  3. parabolas
  4. lines

END OF QUESTION 1

Expert Solution
Step 1

As per the instruction, we will answer only the first one.

Given f(x, y) = √y - 2x.

So, domain for square root function should be always >=0.

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