1. Find the numbers at which f is discontinuous. At which of these numbers is f is continuous from the right, from the left, or neither. Sketch the graph of f. (x+2 ifx<0 if 0sxs1 2-x ifx>1 f(x) =} e

Q: Assume whether the function graphed in the accompanying figure is continuous on [-1,3]. y = k(x) 2 3…

A: for being a contrinuous function this condition should be satisfiedlimx→a-f(x)=limx→a+f(x)=f(a)from…

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. x² + 2x…

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Q: _14. Determine if the given function is continuous at the indicated number x = c. x2, if 0<x<1 g(x)…

A: Evaluating the left and right limit for checking the continuity of g(x) at x=1

Q: Sketch the graph of the function f(x). f(x) is continuous from the right at x = 3, but not from the…

A:

Q: Let f(x) = – and let g be the function defined by (x – 3)(x – 5) if x 3 (a) Evaluate lim(ƒ o g)(x).…

A: Ans:-  a) - infinity  b) infinite discontinuity  Explanations:- In part (b) as LHL is not equal to…

Q: please answer b

A: At x = -4 the function is not continuous from left as well as from right since f (-4) is whole of f…

Q: Consider the graph of a function. 5 4+ 3 2 + + 3 4 5 6. Find the point c at which the function has a…

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Q: Consider the following. X + 5 x2 f(x) - X - 3O Find the x-value (if any) at which f is not…

A:

Q: 4- if f(x)= {† * *S S2 +x x 15 is this function is continuous or dicontinuous a) continuous b)…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Sketch a non-constant function that is continuous on (- o,00) and has the following properti f(-8)…

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Q: Let 1, if-3 <x s2 f(x) = %3D 4-x, if 2 < x<4 Without graphing, is f(x) continuous at x 2? Clearly…

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

A:

Q: Suppose that f(x) = 2 for x &lt; 3 and f(x) = -4 for x &gt; 3. (a) What is f (3) if f is…

A: For x&lt;3,f(x) = 2For x&gt;3,f(x) =-4Part (a) - f(3) = ? when f(x) is left continuous.f(3) =…

Q: draw the graph of a function on [O, 5] with the given properties. f is right- but not…

A: Given: Draw the graph of a function on [O, 5] with the given properties.f is right- but not…

Q: Determine whether the below function f is continuous or discontinuous at a =-3. If f is…

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Q: * 4. Determine a constant k for which the following function will be continuous on (-00,00). 3x + k,…

A: Solution of question as follow

Q: Consider the following. f(x)= x-5 / x2+3x-40 Find the x-values at which f is not continuous. Which…

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Q: 3. Sketch the graph of a function f(x) that is continuous except for the stated discontinuity. a).…

A:

Q: 5. Consider the following piecewise function. x-4, if x>2 f (x) = {- 1, if x = 2 x² - 4, if x<2 a)…

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Q: (b) Redefine f(4) so that f is continuous at x = 4 (and thus the discontinuity is "removed"). f(4) =

A: The given function is: f(x)=x2-12x+32x-4

Q: 1. Consider the function f(x) whose graph is given below. If a discontiuity is Emumerate all…

A: Discontinuity

Q: Which of the following statements is false for a function f that can be differentiated at least…

A: We have to define which statement is wrong

Q: Given the piecewise defined function g(x) = {_-lx! + k, if x < 3 x², if x ≥ 3 what value of k makes…

A:

Q: 1. Find the x-values (if any) at which f is not continuous. Which of the discontinuities are…

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Q: -7 if x 2. Sketch the graph of the function and use the limit definition of the derivative to show…

A:

Q: Let f(x) = and let g be the function defined by %3D (x – 3)(x – 5) if x 3 () Evaluate li (b) Is ƒ…

A: We have to find

Q: 4. Find the values of x-values (if any) at which f is not continuous. Which of the discontinuities…

A:

Q: Consider the following f(x)= 2/4-x2 Find the x-values at which f is not continuous. Which of the…

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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: Consider the function f with domain (-2, : 3|22 – 1| if – 2 < x < 1 2x2 + 2x – 4 f(x) = 3 if x = 1…

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Q: 1. f (x) = 3x² + 2x + 1 at x = -2

A: Given that:                            1. f(x)=3x2+2x+1                 at x=-2.2. h(x)=x+1x2-1 at…

Q: Determine if the following functions are continuOus at the given value of x. 1. f(x) = 3x² + 2x + 1…

A: To check the continuity of the function, check the left hand and right hand limit of the function if…

Q: Is f continuous at x = 2?

A:

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x²+2x x≤1…

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Q: Which of the following is a function that has a jump discontinuity at x = 2 and a removable…

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Q: Find the x-value at which f is discontinuous and determine whether f is continuous from the right,…

A: Given function is : fx=1+x2  if x≤02-x   if 0&lt;x≤2x-22 if x&gt;2 Check the continuity at x=0 LHL…

Q: Consider the function f with domain (-2, ∞): 3|22 – 1| if – 2 < x < 1 2x2 + 2х — 4 f(x) = 3 if x = 1…

A: Solution is given below:

Q: _13. Determine if the given function is continuous at the indicated number x = c. -3x-10 x+2 if x*-2…

A: we have to find out

Q: Suppose that a state's income tax code states that the tax liability on x dollars of taxable income…

A: Given T(x)=0if x≤00.14if 0&lt;x&lt;10,0000.21x+cif 10,000≤x

Q: 1. (x) = 3x + 2x +1 at x = -2

A: f(x)=3x2+2x+1

Q: Consider the following. x - 3 F(x) = Find the x-values at which f is not continuous. Which of the…

A:

Q: 4. Discuss the continuity of the function f at x = 0. Iff is discontinuous at x = 0, is it…

A:

Q: 1. Consider the function f(x) whose graph is given below. y = f(x) 6. Enumerate all discontinuities…

A: given the graph:

Q: Find the numbers at which f is discontinuous. At which of these numbers is f continuous form right,…

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Q: 20. Determine the following function if continuous at 2x g(x) = \72 – 4x + 3 . ; at x = -1 A.…

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Q: Consider the following. f(x)= x/ x2-3   Find the x-values at which f is not continuous. Which of…

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Q: 3. (a) From the graph of f, state the numbers at which f is discontinuous and explain why. (b) For…

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Q: Determine whether the below function f is continuous or discontinuous at a =-3. If f is…

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Q: Y 4- y = f'(x) 3 -3 -1 (1,0) 2 3 -4 (-3,0) W (0,-0.5) (2,-0.5) (3,-2) -1,-2) -3- (-1,-3) (4, -3) 2 I

A: Observe the graph and answer the question.  Concept:  h'(x) = 0  : h(x) has local maxima Or minima…

Q: Select all of the graphs that depict a function which is not differentiable at x=0.

A: Here, we need to select all the graphs that depict a function which is not differentiable at x=0.…

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.