Determine the domain, counter-domain, range, indicate if it is injective, surjective or bijective, indicate if it is increasing or decreasing and if it is continuous or discontinuous 2. f(x) = 5x² – 30x + 41, y 2 -4

Q: Find the absolute extreme values of the function on the interval. g(x) = -x 2+ 11x - 30, 5sxs6 %3D

A: Consider the function  g(x)=−x2+11x−30        ,5≤x≤6

Q: Find the limits. f(x) = 2x²-3x + 15, g(x)=√√x + 3 3

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Q: Describe the concavity of the graph of f(x)=(x-2)5/3 And find the inflection points(if any)

A: See the attachment

Q: If f(x) = x3 - 2x - 5, find f(2) and f(3). Then explain why the continuous graph of f must cross the…

A: Given  The function is f(x) = x3 - 2x - 5 .

Q: Find the absolute maximum and absolute minimum values of f(x) = x³ – 6x2 +7 on the interval [-3, 5].…

A: Given  fx=x3-6x2+7      ......... (1) We have to find the absolute maximum and the absolute minimum…

Q: f(x)=x²-4 2 X-X-6

A: Factorize the numerator and denominator.

Q: The absolute maximum of the function f(x) = 3x² + 3x + 14 over [1, 7]. 182

A: We have to find absolute maxima of the given function   the function is  3x2+3x+14   Over the…

Q: Find a and b so that the function 1 5x3 — 6х? + 3, х -2 f(x) = ах + b, is both continuous and…

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Q: Determine the values of x for which f (x) = 1x − 4 is increasingand for which decreasing

A: fx=1x-4 Differentiating with respect to x, we get f'x=-1x-42    ∵ddx1x=-1x2

Q: Find the function P(x) of a company selling x items is given by P(x)=x3+9x2-15x-13 where x…

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Q: Find points of inflection(if any) f(x)=2x4-12x2+5

A: Given function is Firstly, we will find f''(x) Now,

Q: (2ax + 4,x < 2 g(x) = 110, 7. Find the value of “a" if gx) is continuous for all 2 < x real numbers.

A: g(x)is  continues for all real numbers

Q: Find and classify the points of discontinuity. х2 — 4 f(x) : х2 — х — 6

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Q: Find the maximum value of f(x)=−5x2+5x+6 on the interval [−20,20]

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Q: Find the absolute maximum and minimum, if either exists, for f(x) = 4x° -x*. ..... Select the…

A: Follow next step

Q: For the function g(x) 3x*-2x2 + 6, find the intervals where the function is concave up and the…

A: Given, g(x)=3x4-2x2+6

Q: Find the absolute maximum or minimum if it exists. 3. f(x) — 2x2+ 3х — 2

A:

Q: I'm not sure how to start it.

A: Recall the following fact.A domain of the function is the set of all x values such that the function…

Q: Find all horizontal and vertical asymptotes of f(x)= 4zt5 3x-4r+5 2x2+1-3 %3D

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Q: Let f(x) = 8x3 - x4 + 4. 1. Find the intervals of increase and decrease

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Q: List the intervals of increasing and decreasing for f(x)=10x²–37x +189. List all local maximums and…

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Q: Find the intervals of increase and decrease for the given function. f (x) = 3x5 - 20x³ - 5

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Q: Determine where the function is convace upward   f(x)=-5x2-8x+5

A: A function is concave upward when it's second derivative is greater than zero. If the second…

Q: Find vertical asymptote, x intercept and y intercept of (x+1)(x-5)/(x-6)

A: Topic = Functions

Q: If exist, find the local maximum, minimum and inflection points of the functions f(x)=…

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Q: run rs the functionf continuous onEdoj sc²+2*, If xS2

A: Given:

Q: Find domain, range, asymptote, yintercept, and xintercept for f(x)=In(x+3)+3

A: Given: f(x)=In(x+3)+3 To find domain, range, asymptote, y- intercept and x- intercept.

Q: Find f(5) and f (x² + 3) for the function f(x) = -x + 2 %3D

A: Given,           f(x) = -x + 2

Q: Determine the domain, counter-domain, range, indicate if it is injective, surjective or bijective,…

A: ANSWER :

Q: Find the points of inflection and discuss the concavity of the graph of the function f(x)= x +…

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Q: Find all the inflection points of the function. f(x) x3+2x2 + 3 3 %3D

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Q: Describe the concavity of graph the of f(x)=(x-2)5/3 and find the points of inflection (if any).

A: Given query is to find the concavity and inflection points.

Q: Find the global maximum of the function f (x) 2x³ + 3x? – 12x + 4 - on the interval [-4,2].

A:

Q: Classify the type of discontinuity manifested by the function   F(X)= x+3/x2 +4x-5

A: Given F(X)= x+3/x2 +4x-5

Q: What is the end-behavior asymptote for the function f (x) 2x ? x2-9 O y = –3 x = 2 O y = 0 O y = 3

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The absolute maximum of the function f(x) = 2x? – 13x + 9 over 1, 6]. -

A:

Q: x²+ 3x 3. f(x) = x²-x-6

A: Let's find.

Q: Determine whether or not the function is homogenous. x5 f(x,y) = 72=2y² If it is homogenous state…

A: Given that: f(x, y)=x5x2-2y2

Q: Identify the open intervals on which the function is increasing or decreasing. g(x) = x² – 2x - 8…

A:

Q: For the graph of the function f(x) = x³ + 3x² + 9x + 2, find %3D any inflection points, if it exist.…

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Q: .2 x +3x d. f(x) = x +-3 x +3 x = -3

A: Solution

Q: find points of inflection for and describe the concavity for f(x)=6x^4-x^2

A: Given function To find the inflection points, take the second derivative and set it =0 Then we…

Q: Determine the concavity and find the inflection points of the function ƒ(x) = x3 - 3x2 + 2

A: Given function  f(x) = x3-3x2 + 2  The first derivative is f'(x) = 3x2 - 6x    and the second…

Q: Consider the function . f(x)=x2-8x+12   a). Determine the vertex.   b).Determine the direction of…

A: We find vertex by using completing square method

Q: (A) Find the absolute maxima and minima for y = x- 12x +1 over (-V5, V5).

A: From the given problem:   fx=x3-12x+1   And   a,b→-5,5.   Now differentiate the function and equate…

Q: Find any discontinuities and determine which type. f(x)= (x^2+8x)/x

A:

Q: Find the domain of the function V3 - 4z f(z) = 22 -9 and write your answer in interval notation.…

A: The domain is the set of possible input values of the function.

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.