Find the numbers at which f is discontinuous and determine whether f is continuous from the right, or from the left, or neither. x + 5 if x <0 if 0 1 f (x) = e |(smaller value) continuous from the right X = |1 continuous from the left neither X = | (larger value) continuous from the right continuous from the left O neither

Q: Which of the following functions f has a removable discontinuity at a? If the discontinuity is…

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Given function is continous for all real values of x.  As per given instructions,  Enter NA in both…

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A: we have given  f(x)= x+3     if x&lt;0ex        if 0≤x≤1  8-x       if x&gt;1 we have to find the…

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

A: We can find discontinuity of the function .

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A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

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A: Recall:  A function f(x) is continuous at x=a if limx→a+f(x) = limx→a- f(x) =f(a).

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A:

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A: Given: f(x)=x+1     if x≤11/x     if 1&lt;x&lt;2x−2     if x≥2 To find the where f(x) is not…

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Q: Is the function below continuous at x = 1? -x – 3 x2 – 4x – 1 if x > 1 if x < 1 f(x) = 1 Yes, f(x)…

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A: The given function is f(x)=2x2+3x-5x-1

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Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

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Q: Find each x-value at which fis discontinuous and for each x-value, determine whether fis continuous…

A: See the attachment

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Q: Find values of x, if any, at which the given function is not continuous. x + 8 f(x) = |x² + 8x| O f…

A: Solve the given problem.

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Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

A: Given: a)   f(x)=x+7          if x&lt;0ex         if 0≤x≤15-x         if x&gt;1 b) f(-4)=3 and…

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Q: a. Show that f has a removable discontinuity at x = 3. f(x) = x²7x+12 x + 2 x = 3 b. Redefine f(3)…

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A: Given,    fx=x+6ifx&lt;0exif0≤x≤19-xifx&gt;1  we can check continuity of f(x)  at x=0  and  x=1

Q: Se" –1 r >0 h(x) = |4- e" -1 x20 f(x) = sin x and g(x) = and x < 0 x <0

A:

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A: Here we have to determine whether the given function is continuous.  c) Is…

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A: Here is the solution:

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

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A: Introduction: A function is increasing when the function values increase with increasing independent…

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Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

A: For the given function  f(x) = x+8  if x &lt; 0       = ex     if 0 &lt;= x &lt;=1       = 3-x   if…

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Q: Graph the continuous function with the following properties. f is even f'(0) and f"(0) are undefined…

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Q: 2. Find numbers at which f is discontinuous. At which of these numbers is f continuous from the…

A: Solution

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A: The given function,  fx=x+4if x&lt;0exif 0≤x≤17-xif x&gt;1

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A: Here we use the property of symmetrical function.

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A: Graph

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Q: -x when x 1 a. Use interval notation to express the interval(s) over which f is continuous. b. Is f…

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Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

A: Here we solve the given problem of continuity.

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…