Determine if the following relations describe a function. Justify your answer. a) R1 = {(1,8), (2, 6), (5, 3), (1, – 6)} b) R2 = {(x,y)| y = 5x -}}

Q: g(x, y) = In(2-x) 1-x2-y²

A: To find the domain of the function, g(x,y)=ln(2-x)1-x2-y2

Q: Determine the points at which the function is not analytic: (3z - 1) / (z^2 + z + 5)

A:

Q: Consider the function defined on the indicated interval. f(x) = 2x – 30x + 144x – 220, [5, 8] %3D…

A: To find maximum and minimum of the given function in interval [5, 8] fx=2x3−30x2+144x−220

Q: Which of these relations is a function?

A: The solution are next step..

Q: 2. what is the domain of the function)

A: Given function is, f(x,y)=cos-1x2+y2-3+lnx2+y2-3 The graph of the function is,

Q: describe all functions y=f(x) which are defined for all x element of Reel Number and satisfy the…

A:

Q: What is the definition of the piecewise function from the given domain and range: Domain: (-…

A: The domain and range is given as , Domain = (-∞,0]∪2,∞ Range = -∞,4 find the definition of piecewise…

Q: Give a geometrical interpretation of the function In x

A: To give: Geometric interpretation of the function ln x=∫1xdtt. Concept used: The area under the…

Q: Describe the domain and range of the function. f(x, y) = 4x2 - y Domain: o {x, y): x 2 0, y 20

A: we have to domain and range

Q: Explain which the function are analytic or not: F(z) =2xy – i(x² –- y²) |

A: A function fz=fx,y=u+iv , where u and v are functions of x and y, is said to be analytic if it…

Q: /Sketch the Function Y=Sgn(x) + Sgn (x-) and Finat its domain and vang es

A:

Q: sketch to graph the function f(x) = In(x + 2) – 1. %3D

A: f(x)=ln(x+2)-1Now, putting value of x=-1f(-1) =ln(-1+2)-1           [ln1=0]           =0-1…

Q: - Show that the function f(x) = secx.cscx odd or even

A:

Q: Is this relation a function?

A: Given,           A graph is shown below :

Q: A fixed point of a function f is a number c in its domain that satisfies f(c).  In other words, the…

A: Given: A fixed point of a function f is a number c in its domain that satisfies f(c).

Q: Find the 도ite d Point of the Folowing Functionse 2. x3

A: Given function is F(x) = x3 + x2 - 9x + 8

Q: Prove that a function of the form:is an even function.

A: The given function is  y=a2nx2n+a2n-2x2n-2+...+a2x2+a0

Q: Use the Vertical Line Test to determine whether y is a function of x

A:

Q: Determine the points at which the function is not analytic: (iz^3 + 2z) / (z^2 + 1)

A:

Q: Determine the global extreme values of the function on the given domain. f(x, y) = 3x³ - 7y, osx<1,…

A:

Q: find and sketch the domain of the function f(x,y)= Suqare root 2x-y

A: f(x,y)=2x-yAs we know that domain refer to set of positive values  while range is the set of…

Q: Find three relation from {1, 2} to {6, 7} that are NOT functions.

A: Solution is given below:

Q: 3 Write the function in vertex form. ! LL.LI.le * II. f (x) =

A: Given graph of the function,

Q: Select the option that gives a list of the stationary points of the function f(x, y) = x – 6x² – 3xy…

A: we have given f(x, y)  We have to find the stationary points

Q: 3 Show that the function f(x) = Vx – 5 is one to one function. %3D

A: The objectives to show that the function f(x) is one to one function.

Q: 3) If a function is continuaus at x=a, then it is differentiaoe at x-a, yes? or NO? why ?

A:

Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

A:

Q: Differentiate the function.

A: we have bee given the equation  u=t23+2t3 it can be written as  u=t21/3+2t3

Q: A piecewise function f is defind by [1-x, x1.

A:

Q: Determine whether the relation defines y as a function of x. Also give the domain. 7x=10-2y

A: The given relation is,

Q: Select all relationships which represent y as a function of x.

A: (a) “It is known that; a function is a relation in which each element in domain mapped to exactly…

Q: Consider the function f(x) = x³ – 3x2 – 9x + 4 At what interval is the function concave upward? -…

A: The function is given by fx = x3-3x2-9x+4 To evaluate: The interval on which the function is concave…

Q: Construct a function that is undefined at points 2,3 and T.

A:

Q: I need to let the function f be defined by y=f(x), where x and f(x) are real numbers. Will you…

A: We have to plug x=k2-1 in the given equation.

Q: Determine the number of stationary points of the functionf(x)=x(x−1)(x−2)and indicate the intervals,…

A:

Q: What is the criteria for a relation to be a function?

A: This question is related to relation and function, we will solve it using given information.

Q: R(x)= ex-1

A: Domain of a function is the all possible values of x such that f(x) exists finitely. for f(x)…

Q: Apply the definition to differentiate the following functions: 1- y = ₁ 2- y = √√x 3-y=4-x²

A:

Q: prove two Function invezse each other fk)= (x-2)

A:

Q: Evaluate the function at the specified points. f(x, y) = x + yx“, (-5, 5) , (2, 5) , (–5, –2) At…

A: Given: f(x, y)=x+yx4, (-5, 5), (2, 5), (-5, -2)

Q: What are the minimum and maximum of values of the function y=3sin(3/4)(x+2π/3)-5

A: Given- y=3sin34x+2π3-5 To find-  The minimum and maximum of values of the above function. Concept…

Q: A relation between x and y is a function when what?

A:

Q: Verify Rolle's theorem for the function 2x2 – 18x + 29 on the interval f(x) = [2, 7].

A: Given,          The function is fx=2x2-18x+29 on the interval 2,7.

Q: f(x, y) = ln(y + 2) +√9-y- x²

A:

Q: What is the domain of the function f(x) = |x|? 0 (-∞,∞) ○ (0,∞) 0 (-∞,0) ○ [0, ∞)

A:

Q: 7, find out whether the following functions are analytic 24. y - ix x² + y²

A:

Q: Check the differentiability of the function flz)= (スー1)

A: fz=z-1¯2z+1⇒fz=z¯2+1-2z¯z+1 Differentiating wrt z¯, we get  ∂f∂z¯=2z¯-2z+1

Q: Find the function that satisfies the given conditions.

A:

Q: 7. Explain how the vertical line test proves that a relation is not a function.

A: