ALL WORK MUST x2+ 3x -7 if x<-1 x<- 1 а. f(-4) BE SHOWN 1 Evaluate f (x) =. 5x+ 6 if -15x<2 b. f(0) x3 +4 if x>2 с. f(2) 12 x=2 d. f(3)

Q: Q.5 Find the absolute maximum and minimum values of f(x) = x³ – 3x2 – 9x + 25 over the closed…

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Q: Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of…

A: Given that, Suppose that 2 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum…

Q: What is (go f)(x) if f(x) = 3x – 1and g(x) = 4x? + 9? %3D %3D (go f)(x) = 24a2 – 25 O (go f)(x) =…

A: note: (g o f) means g(f(x)).

Q: Find the absolute maximum and absolute minimum values of f(x) = r3 – 9x2 + 24x – 3 on [2,5]. -

A: Given:- f(x) = x3 -9x2 +24x-3  To find:- Absolute maximum and minimum of f(x) in [2, 5]

Q: -Lt-AL -- - .. 2x+2 f(x) = (2)2(x-3) + 2 h(x) = - - 2 Justify: Justify: g(x) = -(x+1) - 2 k(x) =…

A: 1(c)

Q: 3 -x if x < 2 f(x) = at x = 2, (-0,2) if x 22 2x - 3 if x 2 2 -3 f(x) = -2x + 2 if x < 2 at x = 2,…

A: We have to check if the function is continuous or not.

Q: 19. f(x) : х — 2 x² - 4 20. f(x) = х — 2 (2r 15 if v-

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Q: 2) If f(x) = , then f() : 2x + 3 6x – 5 SHOW ALL YOUR WORK =

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Q: (x-1 f(x)= {2x -1 |-3x +8 if if xs-2 if -2 4 f(-1) = f(-4) = f (5) =

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

A: Given quadratic function R can be written in the form ax2+bx+c=0 This function has minimum value if…

Q: 2 What is the value of f'(0) if f(x) = (x² – 2x – 1)3? %3D 4 3 Option 1 Option 2 4 2 3 3 Option 4…

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Q: from the function f(x) = 3x4 − 4x3 − 12x2 + 5 Find the absolute extreme values of f on the closed…

A: To find out extreme values of f(x) i.e. maximum and minimum values, first we need to calculate…

Q: 2. If f (2) = 10 and f' (x) = x²f (x) for all x, find f"(2).

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Q: Find the critical points of the function f (x) = 2x³ – 9x² +12x+47. Show all your work.

A: Firstly we find the derivative of the function and then put it equal to zero and find the x values…

Q: If f'(x) > 3 for all x and f(2) = 5, what can you conclude about f(4)? %3D

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Q: solve using limits f(x) = x^2 + 2x - 3,   at f(x) = -4

A: The given function is f(x)=x2+2x-3 at x = -4

Q: x+6 if x 2

A: Given that: f(x)=32x+6x&lt;-24-x2-2≤x≤2-(x-2)2x&gt;2

Q: x² – 3x – 2 - if r<-1 x – 1 x + 3 f(x) = if - 1<x < 1

A: limx→-1-f(x)=limx→-1-x2-3x-2x-1=(-1)2-3(-1)-2-1-1=1+3-2-2=-22=-1

Q: 3) f (x) -on| -1, 2]| x²+2

A:

Q: find the limit of each rational function (a) as xS q and (b) as xS -q.

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

Q: x Q3: Show that csch-¹ (²7) = coth-¹(x+¹) x-1,

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Q: The revenue and cost function for a created of alarm clocks are about R(x)=520x-0.01x^2 and…

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Q: x²-3x-4 if x>-1 x- 4 if x < -1 10.Why is f(x) = %3D x-4 discontinuous at x = -1?

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: uan Carlos is using successive approximation to estimate a positive solution for F(x) = g(x), where…

A: Topic:- Functions

Q: Graph the following functions.

A: The function: fx=-2x-1if x&lt;-11if -1≤x≤12x-1if x&gt;1

Q: How many critical points does the function f(x)=∣∣x3−12x∣∣ have?

A:

Q: x'-x+2 If fx) =ア+7 6. , find f'(x). (5x-1) (A) (3x) (x'+7)(5x-1)-(x'-x+2)(3x) (x+7) (B)…

A: Given query is to find the derivative of the expression.

Q: x+4 2x - 3 x2 - 30 if x 5 Find: f(1) - (5) -

A: Given,

Q: The revenue from the sale of x manual food processors is given by R(x)=30x−0.2x2 dollars. The total…

A: Given that the revenue grom the sale of x manual food processorsR(x)=30x2-0.2x2 and the total cost…

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

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

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

A:

Q: 4 if x 2

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Q: 7. Determine where the function f(x) = 2x + 3x - 17x + 4 is equal to -8. Solve algebraically and…

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Q: Express the follo lowest form +4 a 2 1-3x S+x

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Q: The revenue from the sale of x miniature blenders is given by R(x) = 50x – 0.4x2 dollars. The total…

A: Determine the interval of sale for which profit is increasing and decreasing

Q: Suppose 2<f'(x) < 4, for -1 sxs1. Then f(1)- f(-1) is between A) 4 and 8, B) 8 and 16. C) 0 and 4.…

A: Given  2≤f'(x)≤4 for -1≤x≤1Then We know thatf(1)-f(-1)2=f'(1) (by definition of derivative)We know…

Q: Show solution/process. 1. f(x) = 2x² – 4x + 5 at the point (–1,11) 2. f(x) = v25 – x² at the point…

A: Since there are more than one question, only one question can be answered. The function is given by,…

Q: Find (f – 9)(x) if f(x) = V16z4 and 9(ax) = 3a² – 3x – 5. O (f – 9)(x) = x² + 3x + 5 O (f - 9)(m) =…

A: Given f(x)=16x4g(x)=3x2−3x−5

Q: From the function f(x)= x3 -6x2 +9x -3 Determines monotony, maximum and minimum points, inflection…

A: From the function fx=x3-6x2+9x-3,To determine the monotony, maximum and minimum points, inflection…

Q: 8. Suppose that 2+ V4 - x2 -2 2 If F(0) = 2, find the maximum value of F(x).

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Q: Suppose x) =x*+x³– 6x² Determine the value of x vhere f has a relative maxmum value.

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

A: Given query is to maximize the revenue.

Q: Suppose f(x)=(x−5)(x+4) Solve (x−5)(x+4)=0 for x. What x-value produces a maximum (or minimum)…

A: Given: x-5x+4=0 To Find: Maximum and minimum value of fx. Concept: Suppose that x=c is a critical…

Q: The function f (x) 4 +3 3x2 + 20 has all the following critical points except 3 -- (А) 4 (в) 2 -3

A: For critical points put first derivative=0

Q: -(x + 6)² + 4 for x 2 Find f(-4)

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Q: Suppose that 2 sf (x) < 4 for all values of x. What are the minimum and maximum possible values of…

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Q: -3x +4, x < -2 2²-2, x2-2' If f (x) = find f(-2). %3D

A: Given To evaluate  f(-2)=?

Q: x+2 for 4. Graph. f(x) ={-V4 – x² for -2 sxs2 (-x(x-3) for x 2 f(x)t

A: Consider the function  f(x)=12x+2                 for x&lt;2−4−x2            for−2≤x≤2−xx−3…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.