If variable  is a function of variable , which is the independent variable and which is the dependent variable? how are the terms input, output, independent variable, dependent variable, domain, and range related?

Q: Differentiate the function. y = (2x + 1)5/2(4x - 1)3/2

A: We have givenn function y=2x+1524x-132 We have to differentiate this function. Then,…

Q: Differentiate the function. (2x- 1)

A: Given:y=12x-15

Q: What is the differences between function and relation? Give example.

A:

Q: Give your own example of a real-life application of function. Identify the dependent and independent…

A: A function is a process or a relation that associates each element x of a set X, the domain of the…

Q: s this a function or non function: (-4,3), (-2,1), (0,-1), (2,1), (4,3)

A: Given set of relation is  (-4,3),(-2,1),(0,-1),(2,1),(4,3)

Q: Differentiate the function (x1/2+x-1/3)2

A: To differentiate the function:   y = (x1/2+x-1/3)2 Important formula:  dxndx=nxn-1

Q: Differentiate the function. B(y) = cy-3 B'(y) =

A: Given function

Q: Like numbers,can the functions be added, subtracted, multiplied, and divided?

A: To Determine: Like numbers,can the functions be added, subtracted, multiplied, and divided?

Q: Write a short statement that expresses a possible function between the given variables. (weight of a…

A: Given variables are weight of a bag of grapes,price of the bag of grapes.

Q: Differentiate the function. y = 3(x2 - 1)3(x2 + 1)5

A: To Differentiate the function. y = 3(x2 - 1)3(x2 + 1)5

Q: Describe the domain and range of the function. (x, y) = 4x² – y

A: We need to find the domain and range of f(x,y) = 4x2 - y

Q: Differentiate the function y = x + (x5 + 1)10/3.

A: Given a function y=x+x5+1103 Differentiating y with respect to x, dydx=1+1035x5-1+0      =1+1035x4…

Q: A positive relationship exists when both variables increase or decrease at the same time. True or…

A: Answer - A positive relationship exists when both variables increase or decrease at the same time.

Q: Differentiate the function. y = 5(1x - 1)4(1x - 2)2

A: Given function is y=5x-14x-22. To differentiate the function. Solution: Power rule of…

Q: Detmermine whether the equation defines y as a function of x: y2=4-x2

A: To determine whether the given equation defines y as a function of x.Known Fact:A function is an…

Q: Evaluate the function graphically. 10 8. 6. -10 -8 -6 -4 -2 4. 8. 10 -2 -4 -6 -8 6 2. 4. 2.

A: Given:

Q: (2,1)(-3,5)(5,-3)(2,-8)(0,0)

A:

Q: To evaluate a function at a value, the value is substituted for the dependent variable. O True O…

A: For the evaluation of a function in a given equation the given number or expression in is…

Q: Use the terms domain, range, independent variable, and dependent variable to explain how a function…

A: Use the terms domain, range, independent variable, and dependent variable to explain how a function…

Q: Differentiate each function sheet of paper. 1. y = (4x -- 10) A. 16(4x- 10)? B. 16(4x - 10)3

A: 1. Given function is  y=4x-104. To differentiate the function using chain rule. Solution: Chain rule…

Q: Give an example of an equation that represents a function and one that represents a non- linear…

A:

Q: determine the domain and range of the function

A: Given,

Q: Write a function rule for "The output is 2 less than six times the input." Use x for the independent…

A:

Q: Differentiate the function ƒ(x)=(1+2·x)^5

A: ƒ(x)=(1+2·x)^5

Q: If variable B is a function of variable A, which is the independent variable and which is the…

A: It is given that B is a function of A that is, for any value of A, there is a value of B related to…

Q: Describe how a relation and a function are different.

A:

Q: A .....................is used to help us to see the type of relation,if any,that may exist between…

A: A .....................is used to help us to see the type of relation,if any,that may exist between…

Q: Explain the Functions of Three Variables?

A:

Q: Differentiate the function. y = 3 + X y' =

A:

Q: Differentiate the function. B(y) = cy-2 1 B'(y)

A: Differentiate wrt y

Q: For each game, the amount of money the team brings in as revenue is a function of the number of…

A: Given, The amount of money the team brings in as revenue is a function of the number of people in…

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: 3. How is the symmetry of the absolute value function reflected in the equivalent linear piecewise…

A: Since you have submitted two questions, we'll answer the first question. For the second question…

Q: Are all relations a function? Why? Explain comprehensively

A: Explanation: No, all relation are not function because the relation shows the relationship between…

Q: Differentiate the function. 5V1 - x y = y' =

A:

Q: The function inputs is call as * Dependent variable Relation variable Dependent and Independent…

A: The function inputs is call as

Q: To store the data in a variable marks, the function used is  [Choose the most appropriate answer…

A: This is the question of Data Base .

Q: Is the independent variable of a function associated with the domain or range? Is the dependent…

A: Is the independent variable of a function associated with the domain or range? Is the dependent…

Q: Differentiate the function. B(y) =cy-6

A: We have to differentiate the function: By=cy-6 We know formula of differentiation,…

Q: Differentiate the function. y=7√1-x³/ 3  y' =

A: Using chain rule of derivative,

Q: What's the difference between alinear function, a non-linear function and non-linear and not a…

A:

Q: What are the domain and range of the function

A: Explanation and solution is given below....

Q: Explain the difference between a relation and a function

A: A relation is a set of inputs and outputs that are related in some way.

Q: What are the Increasing and Decreasing Functions?

A: We have to define the increasing and decreasing functions. We determine increasing and decreasing…

Q: Differientiate the function. y=(2x-5)3(3-x4)4

A:

Q: Are all functions a relation? Why? Explain comprehensively

A: The answer to your question is Yes. We will explain how all functions a relation.

Q: Determine whether statement is true or false, and explain why. The function ƒ(x)   =   2x 2 +  3…

A: We need to state wheather the given statement if true or false with proper explanation.

Q: Write a linear function that relates y to x. x 0 1.5 3 4.5 y 5 4 3 2.

A: See the attachment

Q: Are all relations a function? Why?

A:

Q: Are all functions also relations? Are all relations also functions? Defend your answers.

A: To explain the problem

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.