True or False? In Exercises 85–88, determine whetherthe statement is true or false. Justify your answer.85. Every relation is a function.86. Every function is a relation.87. For the functionf(x) = x4 − 1the domain is (−∞, ∞) and the range is (0, ∞).88. The set of ordered pairs {(−8, −2), (−6, 0), (−4, 0),(−2, 2), (0, 4), (2, −2)} represents a function.

Q: Use the vertical line test to determine whether or not the graph is a graph in which y is a function…

A: Please refer the attached image for complete solution.

Q: In Exercises 17–28, state the (a) domain, (b) range, and (c)x-interval(s) where the function is…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: Apply Rolle's theorem for the function f(x)-x2+2x over the interval [-2,0]. Justify your answer.

A: Rolle's theorem is used to prove the Taylor's theorem and the mean value theorem. Rolle's theorem…

Q: Let f be a function where f(x) = x² + 3. YA 16 12 -10 -8 -6 -4 -2 0 2 4 6 8 Priya wants to transform…

A: Given that the graph of the function, fx=x2+3…

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

A: A function f(x) is not differentiable at any value of x where it is not continuous.

Q: Determine whether the graph is that of a function by using the vertical-line test. Use the graph to…

A: Explanation of the answer is as follows

Q: Describe a real-life situation that can be modeled by a function (a relation in which every input…

A: Here I am taking a real-life situation of renting a house for two years.

Q: For Exercises 93–102, write the domain of the function in interval notation. VI - P 93. f(x) = V9 -…

A: "Since you have posted a question with multiple subparts we will solve the first three subparts for…

Q: 1. Give an example of a multivariable function that you might encounter in your everyday life. Don't…

A: A function is called multivariable if its input is made up of multiple numbers. ... Visualizing…

Q: For Exercises 5-16, draw a graph to match the description given. Answers will vary 5. f(x) is…

A: 5.

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

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Q: Deciding Whether an Equation Is aFunction In Exercises 43–46, determinewhether y is a function of…

A: we have to tell whether y is a function of x in  x2 + y = 16,

Q: For Exercises 61–66, fill in the blanks and determine an equation for f(x) mentally. 6 from x. 62.…

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Q: Verify Rolle's Theorem for the function f(x) = 3x² + 5 defined over the interval -6, 6|. Justify…

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Q: 12. Consider the function f(x) = 2x² +4x – 6. Part B: Is the function increasing or decreasing over…

A: we know that, If f'(x) <0 on an interval, then f is decreasing on that interval. If f''(x) <0…

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: #3 Choose the correct statements about the function in the graph over the interval [-4,4]. 72 64 48-…

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Q: Questiun 4 At which interval is the function decreasing? 10 10 O (7,22) O (7,9) O (0,3) O (9,22)

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Q: Not Relation |{(2,3), (1,2), (3,4), (4,6), (0,3)} Function Not Function Relation Not Relation

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Q: Relation: {(3,-3), (-6, –2), (1, -3), (1,7), (-5,2)} Domain: { Range: {

A: If R be a relation from set A to set B, then1. The set of all first components of the ordered pairs…

Q: Complete a function analysis of the graph below: 10- 5- -10 -5 Domain Select ]

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Q: 6. {(-7, -7), (-5, -5), (-3, -3), (0, 0)} In Exercises 1-8, determine whether each relation is a…

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Q: Is the function ?f(x)=x+ √|x| differentiable on the open interval (−20,20)? Explain.

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Q: A relation consists of all the points in the x-y plane that are either on the line y=1 or the line…

A: Here, the objective is to determine if equation represent a function.

Q: EXPLAIN what you understand by the extreme values of a function on a given interval. b) Is there…

A: Consider a function y=f(x)

Q: main of g°g. In Exercises 91-96, find the difference quotient , h + 0, for the given function f. 91.…

A: NOTE: Refresh your page if you can't see any equations. . substitute x+h for x .

Q: (Give your answer as an interval or a list of intervals, eg., (-infinity,8] or (1,5),(7,10) .)…

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Q: 1. Choose the correct statement a. The relation is not a function because it does not have a…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 3. {(4, y)| 0 < y <1}

A: In this question we have to find range and domain.

Q: What is a relation? What is Reflexivity What is Transitivity What is Symmetry

A: Relation:

Q: Using f(x)=x what is the Maximum ordered pair and tell whether it’s Absolute or Relative, what is…

A: given funcion f(x)=xto find : 1)maximum order pair 2) minimum order pair 3) positive order pair…

Q: ) a function because the vertical line test only intersects the graph in one point

A: We have to decide the given graph represent a function or not.

Q: Find the largest open interval where the function is changing as requeste Decreasing f(x) = 4-x…

A: From the given problem:   fx=4-x   As we know that for finding the interval of decreasing function…

Q: For exercises 5–6, use the functions f(x) = x² + x and g(x) = 3x - 5. Simplify your answe…

A: 5.  f(3x-5) =(3x-5)^2 + (3x-5) = 9x^2 + 25 -30x + 3x -5 =9x^2 -27x +20.

Q: Identifying functions from relations

A: For a relation to be a function, all the elements in domain must be associated to only one element…

Q: 6.

A: Consider the graph

Q: Find the average rate of change of f(x) 5x-9 on the interval 5, b. Your answer will be an expression…

A: NOTE: Refresh your page if you can't see any equations. . take x=5 . take x=b

Q: 3- -4 -3 -2 -1 1 2 3 4 5 6 -3 -4 -5 -6- the range of the function using interval r

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Q: Determine the interval in which the function is decreasing, increasing, or is constant. y…

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Q: Find the domain and range of the relation: (-7,5),(-3,4), (-3,3), (-2,2). Then determine whether the…

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Q: Identify the open intervals where the function (x) =x/12-x* is increasing or decreasing. a.…

A: Please see the explanation below

Q: 2. Does a rule from one set to another set need to be explicit in order for the rule to qualify as a…

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Q: 8. Consider what happens to a relation when the coordinates of all its ordered pairs are switched.…

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Q: Select all of the functions that are increasing on the interval x>2  Option 1 and 2 are  y=(x-5)^2…

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Q: How do you determine if a relation is a function?

A: The given data is: How to determine if a relation is a function?

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

A: A function is a special type of relation.

Q: What is a relation? What is a function? For people filing a single return, federal income tax is a…

A: Step:-1 Relation:-  A relation between two sets is a collection of ordered pairs containing one…

Q: Describe the x-values at which the function is differentiable. y = |x2 - 25|| 25 20 15 y 10 5- -10…

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