x² -x-2 Is the function f(x) : Fcontinuous at x = 2? Why or why not? x-2

Q: . Find the value of a that makes the following function differentiable for all x-values. Jax, if x…

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Q: Find values of the constants a and b, that make the function f(x) continuous everywhere. (2x3 + x +…

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Q: f(x) = 9x² - 4 at x = 1

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: We have given the function,f(x) = (x+4)/(Sqrroot 4)

Q: Find the values of x for which the function is continuous. (Enter your answer using interval…

A: The function is given as fx=4-x      if x<3 2x-5    if x≥3 find values of x for which the…

Q: Find the intervals of monotonicity of the function f(x)=√x−x2.

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Q: f(x)% = x- 3x3 + 2x2-5x-7 at x = -1 %3D vnaud

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Q: y -2

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Q: Let f(x) = x^2 −x −2. Using the Intermediate Value Theorem, explain why this function has (at least)…

A: The function is  f(x)=x2-x-2

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Consider the given function: fx=x-1x-1 This can be written as a split function: fx=-1x<11x>1…

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: It is clear from the graph that  function y=g(x) is continuous in [-1,3) But at x=3, Therefore, g…

Q: Find the value of a that makes the following function differentiablefor all x-values

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Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: Given the function f(x) = x√(x +9) we need to find  the interval where function is continuous. Now,…

Q: Determine if the given function is continuous on the given point and intervals.                -x2…

A: The given function is  fx=-x2+4 , x<02x2-5x , 0≤x<37-x  ,    x≥3 We have to check the…

Q: (x² + 1 if x -1

A: For function g(x) to be continuous on -1 limx→-1-g(x)=limx→-1+g(x)=g(-1)…

Q: Let ƒ be the function given by ƒ(x) = (x-2)²(x+3). For what values of x is f not continuous?

A: The given function is fx=(x-2)2·(x+3)(x-2)·(x+1) We have to find the values of x, for which f is not…

Q: Find the intervals on which the function is continuous. x+5 y = (x-4)(x-3) (х-4)(х-3)

A: y is continuous on (−∞,3)∪(3,4)∪(4,∞)

Q: Is the function given by g(x) = x²-3x continuous at x = 4? Why or why not?

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Q: 4x 82. f(x) = X - 3

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Q: Describe the Interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Determine if the piecewise function is continuous at a. x-3 x + 3 f(x) = 1, x-3 a = 3 x = 3 O Yes,…

A: Topic- limit

Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

A: It is clear from graph of y=k(x) , that the function k(x) is continuous on the interval [-1,1) and…

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: f(2) = 5 limx→2f(x) = 3 ||

A: Given, f2=5andlimx→2fx=3

Q: Determine the intervals of concavity for the function f(x)=e^(-x)- e^(-(-3x).You must use exact…

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

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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: f (x) = 2x² – x + 6 -

A: The given function,   f(x)=2x2-x+6

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: Examine whether or not the function (4-x² f (x) =- [4+x if x0 Is continuous at x = 0

A: Check whether limx→0f(x) = limx→0(4-x2) and limx→0(4+x), if both sides are equal then it is…

Q: Q3\ Determine if the given function is continuous or discontinuous at the indicated points 2_x x² +…

A: We have been given the function to us  2xx2+6x-7

Q: b. Identify the function's local and absolute extreme values, if any, saying where they occur. g(x)…

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Q: x 2 f(x) = -

A: Using continuity of polynomials function,

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: Find values of the constants a and b, that make the function f(x) continuous everywhere. 2x3 + x +…

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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: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

A: Given,

Q: 4. Determine the possible pairs of values (a, b) which make the function below continuous…

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

A: Here given function  fx=16-x3x+1 Draw the graph of the given function as

Q: Use the graph to determine the values of x at which the function is not continuous.   x=

A: Given the graph of the function

Q: 4х + 5 f(x) 9 — Зх -

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Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

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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: B1(a): Find the value of k that makes function continuous at x = 4 4x + 6 x > 4 f(x) = 6x – k x < 4…

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Q: Describe the Interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: say whether the function graphed is continuous on[-1, 3]. If not, where does it fail to be…

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Q: Find the intervals on which the function f(x)=xlnx is increasing and decreasing.

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Q: 2х-3 Find the interval of f (x) = 5-4х that will make the function 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.