Describe the domain of the relationship shown here.

Q: Determine whether the equation x2 + y = 25 defines y as a function of x.

A:

Q: Determine which equation represents y as a function of X.

A: 1. x2+y2=16   Solve the equation for y, x2+y2=16y=±16-x2   Here, one value of x gives two values of…

Q: Define the term constant.

A: Constant represents something that is not variable.

Q: Evaluate the function at each specified value of the independent variable and simplify

A:

Q: Write a relationship for a function whose f(x) values are 3 more than the principal square root of x

A: The principal square root of x=x 3 more than the principal square root of x=3+x Hence, The function…

Q: Determine whether the equation defines y as a function of x. 2 |x| + y = 0

A: Given; 2 |x|+ y =0 Now subtract 2x on both the sides we get, y=-2x As the value of x changes y…

Q: Determine whether the equation defines y as a function of x.;

A: Graph the given function as follows:

Q: Differentiate the function. y = (x3 + x)/(x2 - x)

A: Here we have to differentiate the function;  y=(x3+x)(x2-x)

Q: Prove the relationship

A: 1. Reason : Given data

Q: Describe what is meant by a piecewise linear function.

A: A piecewise linear function is a function composed of straight-line sections. It is a…

Q: Graph the following equations and explain why they are not graphsof functions of x.|x |+ | y | = 1

A:

Q: Determine whether the equation defines y as a function of x : x = y2

A: The given function is: The given function has to be y=f(x).

Q: Differentiate the function.

A: Given:

Q: Determine whether the equation y = 2x - 5 defines y as a function of x.

A: y=2x-5

Q: determine whether the equation defines y as a function of x.   x + y2 = 1

A: Given- x+y2=1 To determine- whether the equation defines y as a function of x

Q: Determine whether the equation defines y as a function of x. y = (3x - 1) / ( x + 2)

A: Given: y=3x-1x+2

Q: Find the domain and range of the relation.

A: The domain of a function is the set of values of the variable for which the function gives defined…

Q: Determine whether the equation defines y as a function of x. 3x - √y = 8

A: Determine whether the equation defines y as a function of x. 3x - √y = 8

Q: a young person should sleep 8 hours plus 1/4 hour for each year the person is under 18 years of age.…

A:

Q: Find the domain of the relation.

A: Given,

Q: Write a relationship for a function whose f(x) values are 2 less than three times the square of x.

A: we have to write a relationship for a function whose f(x) values are 2 less than three times the…

Q: Can the function be represented by an equation?

A: Yes, We do not need any representation as the function is itself an equation. As, Function shows the…

Q: What does the x represent in this situation?

A:

Q: Determine whether the equation 4x = y2 defines y as a function of x.

A: we have to determine whether the equation  4x=y2 defines y as a function of x.

Q: sketch the graphof the function.y = 2−x2

A: Graph of the function can be drawn with the help of the points that lie on the curve. Substitution…

Q: Determine whether the equation |x |- y = 5 defines y as a function of x.

A: |x|-y=5

Q: Determine whether the equation defines y as a function of x. y = x3

A: y=x3

Q: A  __________ is used to help us to see what type of relation, if any, may exist between two…

A: The given statement is, A  __________ is used to help us to see what type of relation, if any, may…

Q: Explain the Functions of Three Variables?

A:

Q: What are the Functions of Several Variables?

A: Function of Several Variables: If we define a real valued function of n variables as y = f(x1, x2,…

Q: Does the relation x(x + y) = 1 specify a function? Explain.

A: Refer to the question, we have to specify the relation, x(x + y) = 1 is a function.Then according to…

Q: Graph the following equations and explain why they are not graphsof functions of x. |y| = x

A: Let us make a table for |y|=x

Q: Determine whether the equation defines y as a function of x: x2 + y = 5.

A: Given equation, x2+y=5                     ...(1)

Q: Determine whether the equation 2x + y = 8 defines y as a function of x.

A: Determine whether the equation 2x + y = 8 defines y as a function of x.

Q: Describe the domain of the function ƒ(x, y) = √(y - x2).

A: Function: f(x,y)=y-x2The domain of the function f(x,y)=y-x2 isy-x2≥0

Q: Write the equation for the function graphed below. y f (x) = 固助 %3D

A:

Q: Part of a model used by a state government indicates that revenue R varies inversely with the…

A:

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

A:

Q: Determine whether the equation defines y as a function of x. 2) y² + x = 5

A: First we draw the curve for given equation.

Q: Does the table below represent a linear function? Explain the space

A: We have given that, X=5,6,7,8 and f(x) =5,8,11,13 Thus, we have following co-ordinates points as…

Q: Which set of ordered pairs represents y as a function of x? ?

A: Given , I 9,2 , 0,6 , 1,-2 , -3,6 J -1,0 ,4,3 , -7,-3 , -1,-8K3,2 , -4,-2,3,1 , -4,1L5,4 , 2,3 ,…

Q: What is meant by linear function in reference to algebra?

A:

Q: determine whether the equation defines y as a function of x.   y = y = 3x - 1

A: The given equation is y=3x-1

Q: Determine whether the equation x2 + y2 = 16 defines y as a function of x.

A: x2+y2=16 On simplification, we get y2=16-x2⇒y=±16-x2

Q: Determine whether the equation x2 + y2 = 25 defines y as a function of x.

A: Given equation x2+y2=25 Solve the above equation, we get x2+y2=25y2=25-x2y=±25-x2 In the above…

Q: determine whether the equation defines y as a function of x.   y = |x|

A: Determine whether the equation defines y as a function of x. y = |x|.

Q: Determine whether the equation x2 + y = 16 defines y as a function of x.

A: Given: x2+y=16

Q: Determine whether the equation x + y2 = 5 defines y as a function of x.

A: Our Aim is to determine whether the equation x+y2=5-(i) defines y as a function of x.