V16-x3 f(x) = at (-3,-1) x+1

Q: Determine whether function is continuous and/or differentiable at x = 1. f (x) = 1/x

A: Consider the given function fx=1x

Q: f(x) = 9x² - 4 at x = 1

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Q: Find the absolute extrema of the function on the closed interval.

A: Given: To Find: Absolute extrema of the function on the closed interval. Concept:

Q: Determine the value of x of the continuous function: * (x – 1 x 3 f(x) = {3x – 3 Зх — (-4x + 3

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Q: is the function f(x) = 1/(x-2) continuous on [1,3]? Justify your answer.

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Q: Differentiate the function.      f(x)  =        ______1______                            In x

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Q: Describe the intervals on which the function is continuous. f(x) = −3x2 + 7

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Q: Describe the intervals on which the function is continuous

A: Explanation: Given that,  f(x)=4x2+7x-2x+2     Concept Used: A function is always continuous if…

Q: List the x-values where the function is not continuous: f(x) = -x+ 3 if ex if if 3 – x x < - 3…

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Q: Determine the intervals of concavity and inflection point(s) for the function f (x) = 3x – 5x“ – 1 -

A: The given function is f(x)=3x5-5x4-1

Q: locate the absolute extrema of the function on the closed interval: f(x)= x^2/ x^2+3, [-1,1]

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Q: Consider the function f(x) = x³ + x2 - x + 5 on the interval [-3, 0]. Find f'(x). f'(x) =

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Q: f(x) = x2 -4x-2 at x = 1 %3D %3D

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Q: Determine where the function f(x) is continuous.

A: The given function is , fx =x-8

Q: Describe the intervals on which the function is continuous.

A: Discuss the interval on which the function is continuous

Q: Determine whether the function is continuous or discontinuous 5. f(x) =

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Q: Determine the values of the constants a and b which make the function f(x) below continuous at x =…

A: A function f(x) is continous at x = a when:

Q: f(x) at x = - 3 X-3

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Q: Describe the intervals on which the function is continuous.

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Q: Let f(x) = 3 + 27x – x³.

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Q: At what points are the functions continuous? x + 3 f(x) 2 - et

A: The given function is fx=x+32-ex

Q: Is the function below continuous at x = -5? f(x)=x3−2x2+5x+1

A: We are to simplify

Q: Find the absolute extrema of the function on the closed interval. f(x)=6-x,   [-4,1]

A: Given function is, fx=6−x,   −4,1 To find the absolute extrema of the function on the closed…

Q: Determine if the function is continuous at the given point. Sx³ x 2) f(x) = at x = 2.

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Q: { -2x + 3 x 1

A: We have given a piecewise define a function fx which definition change at x=1. The functions…

Q: Describe the intervals on which the function is continuous

A: fx=-3x2+7 It is a polynomial function of degree 2.

Q: f(x): at x = 3 X-3 f(x) = at x = 0 f(x)%3D%x6 at x - 0

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Q: Find the intervals on which the function is continuous. 1 46) y 7x+ 6

A: Given a logarithm function:find the intervals on which the function is continuous

Q: Determine if the given function is continuous on the given point and intervals. Зх - 3x – 5, xs-1…

A: We know that, a function fx is said to be continuous at x=α if and only if limx→α-fx=fα=limx→α+fx We…

Q: Find the absolute extrema of the function on the closed interval.                         f (x) = 3…

A: Given equation is   f(x) = 3-x The absolute maxima or minima occur either on the critical points or…

Q: explain why the function has at least one zero in the given interval. f(x) = x^3+ 5x-3 intervals…

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Q: Determine the values of a and b such that the function is continuous on (-00, oo f(x)-ax+b, -l<x<3…

A: We have to find value of a and b so that function is continous is given interval  (-inf,inf)Function…

Q: Is the function given by f(x)=x^2+3x/2x-1 continuous over its domain?

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Q: Describe the intervals on which the function is continuous.

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Q: Determine where the function f(x) is continuous. f(x) = /2-x

A: We have to determine where th function f(x)=(2-x)^(1/3) is continuous

Q: Use Intermediate Vaule Tun to show that the functions f(x) = x^3 and g(x) = 2x + 3 intersect at at…

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Q: V16-x2 f(x) = at (-3,-1) x+1

A: Given function is fx=16-x2x+1 The interval is -3,-1 We know that function is continuous in any…

Q: f(x) = х-16 at (5,8) Vx-4

A: We have given function fx=x-16x-4 and point 5,8.

Q: Consider the function f(x) = x³ – 3x2 – 9x + 4 At what interval is the function concave upward? -…

A: The function is given by fx = x3-3x2-9x+4 To evaluate: The interval on which the function is concave…

Q: Determine the value of x of the continuous function: * х — 1 f(x) = {3x – 3 (-4x + 3 x 3

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Q: Determine if the function is continuous or discontinuous at x=2. h(x) = x - 1, if x 22 2x- 1, if x<2…

A: if Left hand limit and right hand limit are equal then function is…

Q: Q3. Determine whether the function is continuous at x=1 or not (x² - 1 x = 1 f(x)=x-1 2, x = 1

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Q: Find the value of a and b that will make the function continuous. for x 1/2

A: The function f(x)=1x,        for x&lt;-1ax+b,  for  -1≤x≤121x,         for x&gt;12. We have to find…

Q: Determine if the function is continuous at the given point. 1 f(x) = {* - (x2 – 2 x 0 at x = 0.

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Q: Describe the intervals on which the function is continuous.                           f(x) = (4x2 +…

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Q: f(x)=√√x at x = 7

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Q: Locate the absolute extrema of the function on the closed interval. 4. f(x) = x3 -x2 ,[-1,2]

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Q: -x, x±1 f(x) = 0, x= 1

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Q: Describe the intervals on which the function is continuous.

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Q: x3-9x f (x) = c = -3 x² +11x+24

A: Given function is fx=x3-9xx2+11x+24. To determine whether function is continuous at c=-3. Solution:…

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.