(b) Determine the domains and range of this function: y = v1 -x-

Q: f(x, v) = a² + y² - 4zy.

A: We have given f(x,y)= x2 +y2 -4xy Now, for finding the critical point we have to find partial…

Q: What is the range of the function f (x) = | x | + 2

A: Given:The function is f(x) = |x| + 2

Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

Q: Find and sketch the domain of f(x, y) = /9-x²-y² Vy²–1 What is the range of f ?

A: Given function is  fx,y=9-x2-y2y2-1 The graph of given function is

Q: Find y for the function y = ( secx x2 5

A:

Q: -Which of the functions below has a range of y<-2?

A: Idea: Construct the line y = -2. If the graph remains below the line y = -2 then the function have…

Q: If f is a function defined by the equation y = f1x2, then x iscalled the variable, and y is…

A: Given: If f is a function defined by the equation y = f(x), then x is called the _________ variable,…

Q: Determine the range of the following functions. Express your answers using interval notation y =…

A: The graph of y=3x2, -2≤x≤2 is shown below:

Q: What is the domain of the function? Vx+2

A: Solution: The objective is to find the domain of the given function

Q: What is the domain of the function f(x, y) = x² /ỹ – In(x)?

A: topic -  function domain and range

Q: Find the domain and range of the function, f(x)= sec x+1

A:

Q: f(x) = -(x + 1).

A:

Q: The area of a rectangular floor is 1000 square feet. Express the perimeter of the floor, P, as a…

A: Let x be the width and y be the length of the rectangular floor. Given that the area of a…

Q: Where is the function f(x) =| x | differentiable?

A: Given information: fx=x The function, after removing modulus function, y=x=x,      x&gt;0=-x,…

Q: Find the intersection  point of f (y) with x-axis.

A: Given the function f(y) .We need to find the point of intersection of f(y) with x-axis.

Q: Find two nontrivial functions f(x) and g(x) so f(g(x)) =

A:

Q: Differentiate the function.

A: The given differential equation is y=x2e-1x Apply the product rule f·g'=f'g+g'f to differentiate the…

Q: what is the domain of the function f(×)=(×+1) ?

A: If y=f(x), then the variable x is called the input of the function, and y is called the output of…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: Plot the following functions 1. y = -V2x +1 2. y = (x- 1)3 + 2

A:

Q: Consider the implicit relation yx +1= 7y. In the box below, solve the equation for y as a function…

A: In this question, we have to separate y in terms of x.  i.e. y=f(x)

Q: Sketch the domain of the function.  f (x, y) = √(81 − x^2)

A: Sketch the domain of the function.       fx,y=81-x2

Q: For the function y = f(x), find f'(a)

A: Here we have, f(x)=x2+5x+2; a=-3 We have to find f'(a)=?

Q: What is the y-intercept of y = Vx+1+3? Explain using transformations of this function from the…

A: Given that  y=√(x+1) +3 To find the Y-intercept of y

Q: x+1 3 y = x–1

A: Given:  y=x+1x-13    Differentating with respect to xdydx=ddxx+1x-13        =ddxx+13x-13      Using…

Q: Determine where the graph of the function is concave upward and where it is concave downward.…

A: The graph is shown below:

Q: Use the graph of y=f (x) below to graph the function y =f (x + 1) - 2.

A:

Q: Which equation matches the graph of the piecewise function f(x) below?

A: Given,

Q: The original function, f(X) =X², is transformed by a horizontal shift of 2 units to the right. What…

A: The given function is fx=x2. We have to find the transformation of the horizontal shift by 2 units…

Q: Find the domain and range of the function f(x,y) = √√y − 4 + x2

A: Given: Domain: We must have y-4&gt;=0 and x to be not equal to 0. So,          Domain = -∞, 0∪0,…

Q: What is the equation of the function that is obtained from f (x) = ⎷x by shifting 1 unit to the…

A: If we shift f(x)= sqrt(x) 1 unit to right then we get f(x)=sqrt(x-1)

Q: Sketch the domain of the function.  f (x, y) = 12x − 5y

A: Sketch the domain of the function.  f (x, y) = 12x − 5y

Q: Calculate the point where the functions h(x)=3−3⋅x2 and w(x)=3⋅x+4 intercept. A.) Give its…

A: Topic:- algebra

Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

A:

Q: What is the equation of the function that is obtained from f (x) = | x | by reflecting about the x…

A: Given information:The given function is

Q: sketch the graph of the function f(x, y) = sqrt(4-4x^2-y^2)

A: Given function is, f(x,y) = 4-4x2-y2

Q: Differentiate the function with respect to the independent variable. f(x) = - 8x+ e + e f'(x) = D

A:

Q: How do you find the domain and range for f(x,y) = ln(x+y)?

A: The given function:

Q: determine the most general function M(x, y) or N(x, y) so that equation is exact.

A: We have to find M(x, y) Or N(x, y).

Q: Find the domain of this 2-variable function and sketch it (shade it in): f (x, y) = V1– x² – y2 y 1…

A:

Q: Determine whether the equation defines y as a function of x X^2-4y2=1

A:

Q: Use the vertical line test to identify graphs in which y is a function of x. а. b. с. d.

A: Given, Use the vertical line test to identify graphs in which y is a function of x&gt;

Q: Use the graph of f(x) = [[x]] to graph the indicated function. y = [[2x]]

A: Given function is: y=[[2x]] It is greatest integer function. Given basic function is: fx=[[x]]

Q: Graph the function as a solid curve 1) f(x) =극지•3

A: We have to graph

Q: 1) Determine whether the equation defines y as a function of x. x = y3

A: Givenx=y3

Q: Find the inflection point(s) of the function f(x) = 3e¬x. %3D (х, у) %3D (smaller x-value) (х, у)…

A: Given,  f(x)=3e-x2

Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y T

A:

Q: Find and sketch the domain of the function. f(x.y) = Vy – 4x – 5

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.