In Exercises 20–22, find the domain of each function. 20. f(x) = 7x - 3 1 21. g(x) x + 8 3x 22. f(x) = x + x - 5

Q: Consider the function below. 10- (-2, 3) 10 -5 5 What is the equation of this function? f(z) -

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Q: It is a fact that y(x) = 3x² – x + 1 is a function. Which y-value (output) does this function assign…

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Q: 3. Consider the function (x) = 5(x - 4) + 9. Determine A26).[ 3A]

A: Determine   f(2b) f(x) = 5(x - 4) + 9 f(2b) = 5(2b - 4) +9

Q: Find the absolute maximum value of g(x) = -2x + x-1 over [-3, 5]. %3D | Provide your answer below:

A: Given g(x) = -2x2 +x -1           [-3, 5]     Absolute maximum occur where g'(x) = 0   or at the end…

Q: Sketch the graph of the function. Jx+ 3, xs -5 g(x) 4, x > -5

A: Given,          The function is gx=x+3x≤-512x-4x>-5

Q: A biologist predicted that the population of tadpoles in a pond could be modelled by the function…

A: We will find out the required solution.

Q: Consider the following function: + 3x3 + 3x2 – 7x – 6 y x - 3 Find discontinuities and Maxima for…

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Q: In Exercises 31–34, graph the piecewise-defined functions. 3- x, 32. f(x) = 31 f(x) (2x, 1< x

A: From given function, (3-x) function is valid for X less than or equal to 1 and zero for X&gt;1 And…

Q: 8. What is the vertex of the graph of the function g(x) = (x + 2)2 - 6 ?

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Q: In Exercises 5–8, determine whether the graph of the function is symmetric about the y-axis, the…

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Q: 9. What is the domain of the function f(x) = Vx- 3? | A. (3, 0) B. (-00, 3] С. [3, о) D. (-00, 3)

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Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

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Q: A manufacturer finds that the revenue generated by selling x units of a certain commodity is qiven…

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Q: Sketch the graph of f(x) = Vx - 3 + 4.

A: Given: fx=x-3+4 . Here, the given function is defined only x≥3. The different values of y for x≥3…

Q: Analyze and sketch the graph of f(x) = x√(x2 + 2) .

A: Consider the function:

Q: Sketch the graph of the function. (3x + 3, X ≤ -1 k(x) = 3x²-2, -1 1 y

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Q: Find the maximum or minimum value of the function.

A: Given fx=3-x-12x2

Q: Pls help me quick

A: We have to find the maximum and minimum in the given interval

Q: 5. How will you know if a function increases and decreases and how will you locate the maximum and…

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Q: Sketch the graph of the function. x + 6, xS -3 g(x) = 2 x- 5, x> -3

A: Given, gx = x+6,x≤-312x-5,   x&gt;-3  We have to sketch the graph of gx

Q: In Exercises 5–8, determine whether the graph of the function is symmetricabout the y-axis, the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. Simplify. 80 b) 4v18 -750 2. Find the maximum or minimum value of the function. Write a…

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

Q: Differentiate the function. 5 6 G(x) = x° + 6x G'(x) =O

A: We have to differentiate the given function: Gx=x6+6x5 Rewriting the given function,…

Q: A store owner estimates that by charging x dollars each for a certain lamp, he can sell 40 – x lamps…

A: Given  number of lamps sell each week by charging x dollars each = 40-x

Q: 10) What is the domain of f(x)= vx + 5? A) {x|x 2 -5} B) {x|x 2 0} C) {x\x> -5} D) {x|xs -5}

A: Domain is set of collection of x for which f is defined

Q: Sketch the function. 4 k(x) = -x² +6x²-8 Part 1 of 4

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Q: In Exercises 24-25, find the domain of each function. 24. f(x) = V30 – 5x 25. g(x) = V3x – 15

A: Answer (24): The given is: fx=30-5x Since the domain of the function is the set of all possible…

Q: 2. Find the Domain of the function: h (x) = 4x x (x² – 9)

A: Given function h(x)=4xx(x2-9)

Q: Sketch the graph of f(x) =1−2x /(x−3)^2close to x = 3

A: First list some coordinates for the given relation as shown in below table.

Q: In exercises (1-20), find the domain and range of each the following where y = f(x) 1. y = 5x + 3…

A: (1) The given function is: f(x) = y = 5x + 3 The above function is a linear polynomial and the…

Q: The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is…

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Q: 11. Construct a linear function that represents the table of values shown.

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Q: The function f(x) = -(x + 3)² - 4 has a vertex of (-3, -4).

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Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x*-20x

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Q: Suppose fis a function of x and that you know that f'(x) = 2x² – 15. Is f increasing, decreasing or…

A: Given problem:- Suppose f is a function of x and that you know that f'(x) = 2x2 - 15. Is f…

Q: Differentiate the function. 35 G(x) = Vx° - 2x G'(x) =

A: Answer

Q: Sketch the graph of the function f(x): = 2x-3 x²-4

A: The function is  f(x)=2x-3x2-4

Q: In Exercises 13-14, find the domain of each function. 13. f(x) 3 (х +2)(х — 2) 14. g(x) (х + 2)(х —…

A: 13. f(x)=(x+2)(x-2) 14. g(x)=1(x+2)(x-2)

Q: Differentiate a function using chain rule H (x) = 1/(9x2 - 16)3

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Q: 5. Does the function f(x) = e2x - 2x have any points of inflection? Justify your answer.

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Q: In Exercises 19–24, use the graph off to find each indicated function value. y y = flx) 19. f(-2)…

A: Consider the given figure

Q: 3. When can you say that the function is an implicit function?

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Q: Xi 2 3 Yi 2.4 5 9 Find a function f(x)=ae* that best fits the data.

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Q: 3 4. Find the domain and range for the function f(x): 1- c2r

A: Given: The function fx=31-e2x, To find: The domain and range of the given function.

Q: Exercises 35–42: Write the given expression in the form f(x) = a(x – h)² + k. Identify the vertex.…

A: 35. Given, f(x)=x2-3x   We have to convert the expression into Vertex form,   As we know If…

Q: c-x- 12 Consider the function f(x) %3D x+4

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: use example 3.18 to contrust a table that describes the function H

A: To form the table, first take all the pairs in ℤ5×ℤ5. The following table gives the set of all…

Q: 3) Classify the type of the fixed points of the function : f(x) = x³

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