Suppose that: Feedback for x < 6 Recall the definition of One-Sid f(x) = -6 for x > 6 Continuity. Determine f(6) if f is left-continuous at x = 6. A function f is called: (Give your answer as an exact number.) Left-continuous at x = c if lim f(x) = f(c) X→c¯ -1.2 f(6) = Right-continuous at x = c if lim f(x) = f(c) rect Incorrect

Q: Consider the function if g(x) = if 2. if x>0. And study its continuity at x=0

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Q: 15. Discuss the continuity of the function f (x) = x²-4. x-2

A: To find the continuity of function we need to find the domain of function

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Q: How is a function’s differentiability at a point related to its continuity there, if at all?

A: If a function is differentiable at any point there it has to be continuous. For example: y= x^2 has…

Q: 5. Example: Explain why the function f defined by, f(x)= x-27 x-3 the discontinuity is removable,…

A: Given is a function f(x)=x3-27x-3    To Explain: Why the function is discontinuous at x=3   Also, if…

Q: 11. Use the definition of the limit of a function to prove that lim g(x) =- 6 if %3D (16x²-9 4x +3 3…

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Q: 3+x; xL1 3- X 14 X 8x 40 x 480 11x -4X; 80LX 280

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Q: Define 1 if x 2 Determine the values of a and b such that f(x) is continuous for all x.

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Q: Explain the differences between continuity and uniform continuity when f(x)=3x+7 shown on graph…

A: Answer

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Q: . The function f (x) is defined by the rule 2-36 if x + 6 f (x) x-6 25 if x = 6 (a) Calculate lim f…

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Q: (5) State the value(s) of x where the functions are discontinuous (x = a) AND the type qf…

A: Given that, fx=1               if x&lt;2x+3         if 2≤x≤47              if x&gt;4

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Q: The graph below is the function f(x) 5+ 4 3 2 01 -5 -4 -3 -2 -1 -1 -2 3 -4 -5+ 1 2 4 5 Determine…

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Q: Suppose that f(x) is a continuous function with f(1) = - 6 and f(5) = 6. Determine which choice best…

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Q: Sketch a graph of a function that satisfies all of the following properties. -4- a) f(-6) is…

A: We need to sketch the graph.

Q: Why is "B" 2?

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Q: Create a piece-wise function that is NOT continuous and has domain (−∞, ∞)

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