Like numbers, functions can be added, subtracted, multiplied, and divided. Under what conditions imposed on functions the sum, difference, product and quotient of function will be function again. Build up examples to illustrate all above cases

Q: Write a short analysis of the relationships between the representations and a description of the…

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Q: Write an equation for the function graphed below 5+ 4 3 | 2+ |-7 -6 -5 -4 -3 -2 - -1 2 3 67 13 4 -5+

A: x-intercept is 2, so the numerator has factor = (x-2) The vertical asymptotes are x=-1 and x=4 with…

Q: Q#1. Like numbers, functions can be added, subtracted, multiplied, and divided. Under what…

A: Consider the given information. Let's take two functions as fx=5x2+5x and gx=5x As we know that the…

Q: Find the domain and range of the function graphed below. 5+ 3 -5 4-3-2 -1 1 2 3 4 5 -1 -2 -3 -4 -5+…

A: In given graph horizontal extent of the graph that is 'x' axis is Domain of the functionSo from the…

Q: expression for the function f(x) whose graph is a line passing through the points (-8,-9) and (-6,6)…

A: Given query is to find the equation of the line passing through the indicated points.

Q: {an} = a1, a2, a3, a4, . . . , an, . . . represents an infinite_______ , a function whose domain is…

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Q: 1) Give an example of a function whose domain does not include x = -2 or x = 2.

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Q: Differentiate: (Do not simplify or plug in any numbers); You must use the chain rule where required.…

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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: (a) fog State the domain of the function. (Enter your answer using interval notation.) (b) gof State…

A: Given: f(x)=x and g(x)=8-x3

Q: Devon is having difficulty determining if the relation given in an input-output table is a function.…

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Q: Which input-output rules could describe the same function (if any)? Be prepared to explain your…

A: Given that:

Q: NA 2. Describe the end behaviours of this function. 8- 4- 4 -4 -2 -4- -16-

A:

Q: In the last chapter, a main focus was on rational functions (ratios). In chapter 3, a main focus was…

A: Let say, a = 45 as 'a' is between 0 and 100 and a natural number. b = 7  as 'b' is between 0 and 10…

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 an equation for the function graphed below 4 13 -7 -6-5 4-3 -2 2 3 4 5 67 13 4 5.

A: Given: The graph of the function as To find: Equation of the function,

Q: GIVE 2 EXAMPLES OF RELATIONSHIPS THAT IS NOT FUNCTIONS , BECAUSE DIFFERENT REASONS AND EXPLAIN THE…

A: 2 examples are :1. y= ±x and2. x2 + y2 = 9Reason : there is atleast one x - value with two or more y…

Q: Summarize what the graph of y = |x| + 2 will look like. Then graph and label the parent function and…

A: we have to draw the graph of y=|x|+2

Q: In the Wizard World, currency exchange is inconsistent. One Galleon from the Wizarding World is…

A:

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: Differentiate: (Do not simplify or plug in any numbers); You must use the chain rule where required.…

A: This is a differentiation question

Q: Explain the phrase below. 'All functions are relations but not all relations are functions'

A: All functions are relations but not all relations are functions'

Q: (4x +1)'

A: given,        fx=4x2+175

Q: Given the table below, determine whether the function is one-to-one. 4 14 -3 14 3 10 O No, the…

A: Given query is to find function bis one to one or not.

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: 4) True or False, if you switch the input and output values, the following is a function. x (input)…

A: Given,

Q: What can be said about the sum and difference of each pair of functions? (a) Two even functions (b)…

A: (a) Let f(x) be an even function and g(x) be also an even function.Since,  by the property of an…

Q: determine the domain and range of the function

A: Given,

Q: 6 4 X -6 -2 4 Identify the function. 2. 2. 2.

A: bAccording graph vertical -asymptotes  at x=-3,5

Q: Think of a situation (problem) in real life that we can treat using the function rule. Identify the…

A: Defination: Generally a function is a relation of some input and output. By using some input in…

Q: A function is defined as f (x) = 8x +15. The values of the domain are[1,3,4,6) what are the values…

A: Given,            f(x) = 8x + 15

Q: Find the domain and range of the function graphed below. 5+ 3 -5 -4 -3 2 1 2 3 4 5 Domain: Range: ON…

A:

Q: Q#1. Like numbers, functions can be added, subtracted, multiplied, and divided. Under what…

A: Like  numbers, functions can be added, subtracted, multiplied, and divided. Under some conditions,…

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

A: Given:

Q: The tables show data on the hours worked and the earnings for five different people in an…

A: You need to analysis relation between hour and earning

Q: Graph 1 -8 -6 -4 2 4 6 8 -4 -6. -8. Function? OYes ONo 2)

A: Since we are given with the multiple question and our  guideline is solve first question kindly…

Q: Find the largest open interval where the function is changing as requested. Increasing y = 7x - 5

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Q: a. What is the domain of the function that defines the actual distance (in miles), d, in terms of n,…

A: Domain and range of a function is, The domain is the value that can be applied into the given…

Q: Describe a possible real-world situation that could be modeled by the function.

A: that is

Q: Discuss the followings in detail: a) What is domain & Range? How a function can play role in domain…

A: A function is a relation between a set of inputs and a set of permissible outputs with the property…

Q: Find the domain and range of the function graphed'below. 5+ 13 -5 -4 -3 -2 -1, 1 2 3 45 -2 -3 -4 -5+

A: We know that domain is the input value to the given function. Domain is the value of x for which the…

Q: Is function composition commutative?

A:

Q: Give the domain and range (to the nearest half-integer) of the function illustrated above. Domain:…

A: Domain: The set of values of x for which the function is defined is called domain. Range: The set of…

Q: GENERAL MATHEMATICS Give at least 3 examples of situations that can be represented as one-to-one…

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Q: What is the domain of the function graphed above A.(7/2) B. -infinity <x <infinity

A: We have to find the domain

Q: Select all tables that could represent a function. 8 0 3 1 -1 5 1 -3| 0 -4 -1 2 2 3 3 5 2 -2 -4 -3 4…

A: Recall:  A function is a relation in which every input has exactly one output.

Q: Determine the domain and range of the function. 4- 3 2- 1 -4 -3 -2 -1 2 3 Part 1 of 2 -1 -2- -3- 4 4

A: Solve the following

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

A: To explain the problem