3. f(x) = --x- 1) + 2 4. f(x) : :--x+1- 5 Starting Pt: Inc or Dec: Starting Pt: Inc or Dec: Domain: Range: Domain: Range: Abs. Max or Abs Min: Abs. Max or Abs Min: End Behavior: End Behavior: f(x) → ,f(x) → , f(x) → f(x) → -4 -2 - 4-2 -2- -2

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

A:

Q: 2. Find the absolute maximum and absolute minimum value of f(x) = 6x – x on [1, 7].

A: Given function fx=6x-x2 To find the absolute maximum and minimum first find critical values.…

Q: 22. The function f(x) = Vx – 6 is transformed according to (x, y) → (7x – 7, - y+1). the transformed…

A: Substitute fx for y in the transformation and simplify. x,y=x,f(x)→7x-7,-f(x)+1=7x-7,-x-6+1

Q: 10- Continuity of the function f(x){*-5 -1<x<2 x² -1 2< x< 3 at x=2?

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

Q: Find f"(x). 13. f(x) = x³ – . 3 14. (x) = x* + 15. f(x) = x'/5 16. f(x) = x'/3 17. f(x) = 2x-2 18.…

A: As there are multiple questions 13 is solved here.

Q: - Find f '(x). f(x) = - 3 In x+ 11x² - 9 f '(x) = . Find f '(x) f(x) = -9-5x + 4 ex f '(x) = . Find…

A: Solve for the derivative

Q: 14 Find the absolute maximum and absolute Minimum value of each function: eCx)= 3x"+4x3 interval…

A: Consider the handwritten solution.

Q: 4 ,5 Let f(x) = 7x* In(x) f'(x)

A:

Q: In Problems 23–38, for the given functions f and g, find:(a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘…

A: In Problems 23–38, for the given functions f and g, find: (a) f ∘ g (b) g ∘ f (c) f ∘ f (d) g ∘ g…

Q: 6. Let (1- x2, if x 1 Find f (-1)

A: 6.  Given that , f(x) = 1-x2    ; if x≤12x+1   if x&gt;1we have to find f(-1)

Q: 4 -2 End Behavier As x-∞, f(x) (0,1) #∞ As x, f(x)➡ 0 (0.634. 1.348) 2 4 (2.366,-3.848) #-∞ ::…

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Q: 1 If f(x,y,z)= of then x-y-3-

A:

Q: Find the minimum of f(x) = 3 + 6*x + 5*x2 +3*x3 + 4*x4 in the range of [-2, 1]

A: the given function is f(x)=3+6x+5x2+3x3+4x4 find the derivative  f'(x)=6+10x+9x2+16x3 find the…

Q: Find the absolute maximum and absolute minimum values off on the given interval. Ax) = (x²-1)°,…

A:

Q: f(X)=X3+3x2-6 over closed interval (-2,5) what is the largest critical point?

A:

Q: 3) f(x) = x--x- 1; [3] [1, -1: 01.4 5) f(x) = 2x² - 2x -1; 4) f(x) = −x- - x + 1; [2, 1 x-1 6)…

A: Average rate of fx change over interval a,b=fb-fab-a

Q: Suppose that a function f(x, y) attains an absolute minimum at the point (2, -3), and an absolute…

A: Given that f(x,y)  attains absolute min at (2,-3) f(x,y)  attains absolute max at (-3,2) The new…

Q: 2 The function defined by f(x)= x-3x for all real numbers x has a relative maximum at x = %3D

A:

Q: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = x^2 − 4      x − 2…

A: Do you agree with the contention that the functions f(x) = x + 2 and g(x) = (x^2 − 4)/(x-2) are the…

Q: The absolute minimum value of  f(x) = (x3/3) - ( 5x2/2) - 6x  on [-1,3] is?

A: fx=x33-5x22-6x,   -1, 3 Differentiating with respect to x, we get f'x=133x2-522x-61=x2-5x-6 Now to…

Q: Determine the critical points of the function  : f(x) = (x^2-1)^3 and identify absolute maximum and…

A: The critical point of a function fx is a point in the domain of the function, where the derivative…

Q: If f is a continuous, odd function and f(c) is a relative maximum, then f(-c) is a relative minimum.…

A:

Q: 17. Find the end behavior for f(x) = -3x - 2x -7 A. x- +o, f(x) +0 x -o, /(x) - - B. x-+o, /(x) -00…

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

Q: Chapter 2.1 (The limit definition of derivative needs to be used Find the derivative of f(x)=z² – 5z

A:

Q: 1 If f(x, у, 2)- ôf then х— у—3z ду а. 1 (х- у-3-)2 b. -1 (х-у-3-)* С. 1 (х-у-3-)° d. 2 (х - у-3-)?

A: In Partial differentiation w.r.t y we treat x,z as constants.

Q: 1. f(x) = x² – 4x + 1 at point (0,1) 2. f(x) = x³ + 2 at point (1,3) 3. f(x) = 2x* + 3x³ – 2x + 7 at…

A: Given : The functions and the points.

Q: | 1) Find a function y whose graph passes through the point (1, ) and satisfies x²y' = y.

A:

Q: 1. How many point(s) of inflection are on the graph of f(x)=18x^3+5x^2-12x-17 * f(x) = 18x + 5x2 -…

A:

Q: 4. Differentiate the function. (1) f(x)= in x (2) f(x)= In{x (3) f(x)= In- 2x²(x+2)³ (3x- 2) (4)…

A: HI there, At a time we can answer only one question. So, I have answered first question.

Q: 8 — х — x2 if x 4 -

A: f(4-) = 8 - 4 - 16 = -12 f(4+) = 2*4 - 20 = -12 f(4) = 8 - 20 = -12

Q: 1. Consider function f(x,y) for which = 24x² + 114y and %= 114x + 24y2. Wbich of the points (5, 5)…

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

Q: + 2x if xs -1 if -1 1 f(-4), f(-}). (-1), f(0), f(25)

A:

Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

A:

Q: All critical points of f(x) satisfy f'(x)=0. Select one: True False

A: If a function f(x) is given and to find the critical point we have to equate the first order…

Q: 1 - X 0 3

A:

Q: Which of these is fixed point equation for f(x) = x*+5x²-x-3. O f(x)=-x = x*+2x²-x-3 O f(x)=|x |=…

A:

Q: Function f(x) is defined as f(x) = x3 + 2x² - 20x + 10 in interval [-2, 1], what willI be it's…

A: Introduction :

Q: Determine all critical points for the function. f(x)= x^3-12x-2 show all work

A:

Q: Determine all critical points for the function. f(x) = x3 - 9x2 + 1 X = 0 x = 0 and x =6 X = 0 and x…

A: The critical points of a function f(x) are points such that f'(x)=0.

Q: function y= f(x) and f''(x) is + , what can we conclude regardin

A:

Q: 1) Consider the end behavior description below. • as x -, fx) - • as x, fe)-- Which function…

A: We need to select a function for which 1. As x→-∞, f(x)→∞ and 2. As x→∞, f(x)→-∞

Q: (2) Find all the points of discontinuity of the function S(x) = } x + 2 (x2 – 4 1<x< 3 x2 3

A:

Q: 13. Find a function rule for a function that has x-intercepts of (0, 2) and (0, 8) and a y-intercept…

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Q: Maximize f (x,,x,,x,) = x, subject to xị +x = x,

A:

Q: By the extreme value theorem, f(x) = x/4 – x² has extreme values on [0, 3/2]. What are the minimum…

A: Maxima and minima:…

Q: If f:[0, 3] → R is continuous, must its range be a closed interval?

A: If f:[0, 3] → R is continuous, must its range be a closed interval