EXERCISE 10.2 Answers to Odd-Numbered Problems Bey 1HA gr 5Dems cert (a) f(0) (b) f(1) (e) f-1) (d) f(-x) (e) -f(x) () fx + 1) (g) f(2x) (h) f(x + h) 3. f(x) 1 In Problems 1-8, find the following values for each fiunction x2-1 4. f(x)= x +4 X 1. f(x) 3x2 2x - 4 2. f(x) = -2x2 +x-1 Exp 2x + 1 7. f(x)3x 5 8. f(x)= 1 - (x+2P 52. De ce 5. f(x) x +4 6. f(x) x2 + x In Problems 9-16, find the difference quotient of f, that is, find x+ h)f h # 0, for each function. Be sure to simplify. h 9. f(x) = 4x + 3 10. f(x) -3x + 1 11. f(x) x2- x + 4 12. f(x) x + 5x-1 53. D 1 16. f(x) X 13. f(x) x 14. f(x) x3 - 2x 15. f(x) x In Problems 17-28, determine whether the equation is a function. 54. 17. y x2 18. y x 1 19. y 21. y 4-x 22. y V1 - 2x 20. y x Sey 23. x y 25. y 2x2 3x + 4 3x 1 26. y x + 2 24. x + y2 1 27. 2x2 3y2 1 5 In Problems 29-42, find the domain of each function. 28. x 4y2 1 29. f(x)=-5x + 4 30. f(x) x2 +2 31. f(x) X 33. g(x)x2- 16 X x2+1 2x 34. h(x)x- 4 1 32. f(x)= 37. h(x) 35. F(x) x2 3.x x2+1 12

Q: 1. To show that +2-4= 0is an implicit solution to do Lon the 2y interval (-oo, 4), i. First convert…

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Q: 3. Verify that the following functions are solution of one of the equations in part 1 and match the…

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Q: |x²+4x=5| |1-x| Problem 1/ Sketch the function: y + 2 =

A: Sketch the function:y+2=x2+4x-51-x

Q: A graphing calculator is recommended. - 1 Let f(x) = x + 1 (a) Find f'(x) and f"(x). 4x (1? + 1)?…

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Q: 26. Consider the functions y = f(x) and y = g(x) whose graphs in red and blue, respectively, are…

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Q: 3. Consider the function f(x) = 23 if x = Q if x # Q. Prove that f'(0) = 0. Hint: Apply the…

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Q: In Problems 39-46, find the following for each function: (a) f(0) (b) f(1) (c) f(-1) (d) f(-x) (e)…

A: (39)    f(x) = 3x2 + 2x - 4       (a) f(0) = ? (b) f(1) = ? (c) f(-1) = ?

Q: f(x) g(x) g'(x) 2. 5. 0. 2. 1. 1, -2 3 2. 4. 4 -1 3) -3 2. Problem 3. Suppose values as given in…

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Q: snip

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: In Problems 5–7, find f° g. g ° f.f° f, and g ° g for each pair of functions. State the domain of…

A: f(x)=2-x , g(x)=3x+1

Q: In Problem ,find the following for each function.(a) f(0) (b ) f(1)(c) f(-x) (d)f(x+1)(e) -f(x) (f)…

A: Since you have posted multiple subparts we solve the first three subparts for you to get the…

Q: Question 8 Describe the long run behavior of f(x) = (x- 4)(x + 3)°(x – 1)²: | As x - o, f(x) → As x…

A: Solution

Q: Part 3 of 8 (c) Find all x for which f (x) 0. Value(s) of x for which f (x) = 0:

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Q: In Problems 12–15, determine whether f is continuous at c

A: 12. f(x) = 3x4 - x2 + 2 All polynomials are everywhere continuous; this function is continuous at c…

Q: Question 9 Ay f (x) =< ; Estimate f (-2) %3D 8-6 4 O -1 -2 O None of these 2]

A: The graph of the function crosses the x-axis when x=-2. Then, the value of the function at x=-2 is…

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

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Q: 21. Suppose f(x) = A and g(x) = v2*. Find the x-value for which the two functions are equal.

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Q: Question 5 Describe the long run behavior of f(x) - 5(3) – 4 %3D As - O0, f(x) → |? v As a 00, f0 >…

A: See the attachment

Q: snip

A: The functions: fx=x+5, gx=x-5

Q: Question 9 Let f(x) f-¹(x) = 1 2+8

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Q: Find a general formula for f (n)(x). f (x) = x−1/2

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Q: 1. Fit the function g(x) = v1x + v2 (x – 1)3 to the data in table below. Xi -1 1 Yi 2 1 -1

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Q: For f(x) and g(x) given in Problems 35-38, find (a) (f + g)(x) (b) (f- g)(x) (c) (f g)(x) (d)…

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

Q: In Problem ,find the following for each function.(a) f(0) (b ) f(1)(c) f(-x) (d)f(x+1)(e) -f(x) (f)…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three parts for…

Q: Find f by solving the initial-value problem. 5 f'(x) = f(1) = 17 %3D %3D f(x) =

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Q: 1. If 2. If f(x) = 5x- 3x² – 2x + 7 f(x) = x* In x find f'(x) and f'(1). find f'(x) and S'(1).

A: Given:  1. fx=5x4-3x2-2x+72. fx=x4ln x

Q: 4. Find the functions f(x), g(x),h(x) that satisfy: f(g(h(x))) = 2.

A: A composite function is created when one function is substituted into another function .

Q: An)(a) for f(x) = 1 at a = 4 for n2 1? Using your answer from Problem 9, what is /2x+1

A: As per bartleby guidlines only first one question is to be done.

Q: (b) 1 1.1 1.2 1.3 1.4 1.5 f(x) 12.1 10.6 9.0 7.3 5.5 3.6 f (x) appears to be f"(x) appears to be

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Q: The equation for a family of functions with zeros at +3, and -1, with end behaviors from Q2→Q4 is:…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: 21. Suppose f(x) = G and g(x) = v2**. Find the x-value for which the two functions are equal.

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Q: Suppose f(1)=2 , f'(-1)=7 , g(1)=2 , g'(1)=3 Find h'(1) for h(x) = f(-x^3)

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Q: Find f'(x) if ef(x) = 1 + x². 2x f'(x) = 1+x2 s'(x) = 2x(e+**) Option 2 Option 3 f'(x) = 2x(1+ x²)…

A: The given function is ef(x)=1+x2

Q: Question 2. Find the critical points of the function g(x, y) = x²y + 4xy.

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, currently…

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Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

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Q: Example 2: Evaluate numerically I= f fxye dydx.

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Q: 6. a. Use an x- interval of 0.0001 to determine the instantaneous range of change of the function…

A: Consider the given function. fx=x4+8x3+19x2+12x The objective of the problem is to find the…

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Q: Evaluate: g(f(-3)) y fx) y = g(x) 10 10 6. 3 3456789 10 10-9-87-6 "5 -2 -1 2345678 9 10 -2 -4 to

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Q: Part 1 of 3 (a) Graph f(x)=3|x for x S

A: Solution ) f(x) = 3 |x|  x&lt;0 Vertical dilation of scale factor 3 f(x) = -3x and x&lt;0

Q: For each function and graph in Problems 21, 22, 23, and 24 a. use the graph to identify r-values for…

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Q: Question %3D Select all of the following that are critical numbers for the function f(x) = (x2 -…

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Q: 3. Do you agree with the contention that the functions f(x) = x+2 and g(x) x-2 are the same in every…

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Q: Find the critical points of the following function. e 3* + e f(x) = - 3x 2

A: The given function is

Q: - For the functions in Problems 22-25, do the following: (a) Find f' and f". (b) Find the critical…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve   the first…

Q: Find the absolute extreme values of the function on the 11) F(x) = 0.5 s x s 2 x2

A: We first find the critical values by solving F'(x)=0 F(x)=-2x2F(x)=-2x-2F'(x)=-2(-2)x-3F'(x)=4x3For…

Q: If f and g are functions of time, and at time t = 3, f equals 9 and is rising at a rate of 4 units…

A: Given,            If f and g are functions of time. At t = 3 , f equals to 9 and is rising at rate…

Q: Differentiate the functions stated in questions 1 to 7 with respect to x. 1. y= 3x +2- Vr 2. y=e2r,…

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Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.