x3-9x f (x) = c = -3 x² +11x+24

Q: f (x) = 2x² – x + 6

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Q: Determine if the given function is a continuous on each of the given intervals. A. f(x) = 3x³ + 4x²…

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Q: Determine the discontinuities of the following functions and state why the function fails to be…

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Q: f(x)= x² +6x+9

A: The function given is f(x)=xx2+6x+9 The function f(x) is a rational function The rational function…

Q: Evaluate and tell whether the given function is continuous or not. 3. f(x) =7-4 x+2 at x=2 2-4 4.…

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Q: At what points is the following function continuous? 3 x° + 8 x+2, x+ - 2 x? - 2 f(x) = - 3, X = - 2…

A: The given piecewise function is: f(x)=x3+8x2-4,          x≠2,  x≠-2-3x=-26x=2

Q: Find the values of x for which the function is continuous. - 7 f (x) = 2 + 84

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Q: Determine where the following function is continuous. x-4 M(x) = 9x2 - 25 The function is continuous…

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Q: Write A if the function is continuous and B if not. 1. f (x) = x² + 2x + 1 at x = 2 2. f (x) = x² -…

A: we need to identify that given function is continuous or  not

Q: Determine if the function is continuous at the specified point. If it is discontinuous, what type of…

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Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: Find the constants a and b such that the function is continuous on the entire real number line. x <…

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Q: find intervals where each function is continuous   a. f(x)=x^4-8x^3+7x^2     b.…

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Q: 4x f (x)=- x2 +4 %3D

A: f(x)=-4xx2+4

Q: Determine if the following functions are continuous at the given value of x. Show your solution. 1.…

A: A function f(x) is continuous at x=c if the left hand limit, right hand limit and the value of the…

Q: Identify whether the following functions are continuous or not. Write your solutions on a separate…

A: Find your answer below

Q: Find the open intervals on which the function is increasing or decreasing.

A: Given: f(x)=(x-1)2(2x-5)

Q: Let f(x) = { 8x6 if x 10 If f(x) is a function which is continuous everywhere, then we must have b=

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Q: 22. If possible, find constants a and b so that the function f that follows is continuous and…

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Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1…

A: topic - limits and continuity

Q: Which of the following functions passes through the point(0, 10) and satisfiesf'(x)= 87

A: given f'(x)=8

Q: 4.f(x) 3 x2-4x 5. f(x) 2x2 +4x- 3 %3D %3D 6. f(x) = xス+ 2x-3 %3D X-1

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Q: Find constants a and b, such that the function following function is continuous for -3 <x <0. -x +1,…

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Q: 5x

A: G

Q: Let f(x) | x? + 4x – 5 if x > – 6 - If f(x) is a function which is continuous everywhere, then we…

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Q: x²-4 f(x)%3D x2-5x+6

A: As we know that; The polynomial function y=fxgx is continuous everywhere except such ''x'' where…

Q: Find the intervals on which the function  f(x)= \frac{7x-1}{x^3-4x}   is continuous.

A: f(x)=7x-1x3-4x=7x-1xx2-4=7x-1xx-2x+2

Q: Find the values of a and b such that the following piece wise function is continuous at points x-2…

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Q: f (x) = x + 2x³ – x² – 2 %3D

A: Given: Determine if the given function is continuous at every real number f(x)=x4+2x3-x2-2

Q: b. Determine the discontinuities of the following functions and state why the function fails to be…

A: i) F(x)=x3-x2-1ii) F(x)=x2-10x+2

Q: If f(6) = 13, f' is continuous, and f'(x) dx = 16. Find f(7) and enter a numerical value. Example,…

A: In this question given that f(6) and find the value of f(7) . We use here integration method to…

Q: Find the open intervals on which the function is increasing or decreasing           f(x) = (x −…

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Q: f(x) = 2x² – x + 6 for all values of x %D

A: Given function is, f(x)=2x2-x+6

Q: Determine the interval(s) on which the following functions are continuous. 3x? - 6x + 7 g1x2 x + x +…

A: To Determine: the interval on which the following function are continuous . Given: we have…

Q: Explain if the function is continuous or not for the given number a. if x>1 if x = 1 ,a=1 if x<1…

A: we have given function     we need to determine the continuity at a=1

Q: Determine if each function in continuous. If the function is not continuous, find the x axis…

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Q: Is the following function continuous? x2 – 9 if x 3 if x = 3

A: The function is given by

Q: Decide if the given function is continuous at the specified value of x .   f(x) =…

A: Given,             f(x)=x+3x-9       : x≠3     k           :   x=3

Q: Determine the intervals on which the following function is continuous. x2 - 3x +2 f(x) = x2 - 1

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Q: Evaluate and tell whether the given function is continuous or not. 5. f(x)= x² + 2x – 4 at x=4

A: See the details solution in below

Q: | Determine if the given function is continuous or discontinuous at the indicated points 2_x x2 + 6x…

A: A function fx is continuous at x=a if its left-hand limit, right-hand limit, and fa are equal and…

Q: Determine if the function f(x) is continuous and/or differentiable at x = 2? x+10 for 2≤x≤2 f(x) =…

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Q: Find the values of a and b that make f continuous everywhere. x² - 4 X - 2 ax? - bx + 3 2х — а + b…

A: The given function f(x) is continuous everywhere, thus the function is continuous at x = 2 and x =…

Q: Given the function f(x) = -x³ + 5x*, determine all intervals on which f is both increasing and…

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Q: Let f(x)={4x−4 if x≤6               {−5x+b if x>6 If f(x) is a function which is continuous…

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Q: DETERMINE WHETHER THE GIVEN FUNCTION n(x) IS CONTINUOUS OR DISCONTINUOUS AT x = 2 3x² +4 n(x) = if x…

A: For function to be continuous at any point, limiting value of function at that point must be equal…

Q: Determine the intervals on which the given function is positive or negative. x(1+x) f(x) = (4 – x²)

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Q: Given the function (x³ – 2x 2 if x < 2 f(x) = v2 - x if x 2 2 Determine if f is continuous at x1=2.…

A: Continuity

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.