. Determine the possible points of discontinuity of the following functions and the type of discontinuity exhibited at that point. Remove any removable discontinuity. Sketch the graph of f(r) to verify your answers. a. f(r) if r < 2, d. f(r) = x - 2 b. f(x): if r > 2.

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Q: - Find and classify the discontinuities of the function f(x) x2 - 1

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Q: Draw the graph of the following piecewise function f(x) defined as: -t+1 for -5<t< -1 f(t) = t² + 1…

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Q: If f is a function that has a removable discontinuity at x = 3, which of the following could be the…

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Q: Consider the function f(x) with the following graph: 2 Compute f'(-1). 3. 2.

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Q: Determine if the following function is continuous or discontinuous at x = 0? 4 +5 f(z) = 9-3z

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Q: Suppose that { x²-81 for x + 9 f(x) = x-9 27 for x = 9 Determine the points at which the function f…

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Q: 8. Sketch the graph of the following piecewise-defined functions. (-2, if x 0 St² +4, if t -4 a)…

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Q: x2 – 1 f (x) ; x = 1 х — 1

A: We will solve the following

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Q: Consider the following graph of f (x). Which of the following are inflection points off? -8 -7 -6 -5…

A: Point of inflection

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A: Graph of the function is given, we have to find the points for which f is not differentiable.

Q: /hich of the following relations is NOT a function? *

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Q: Consider the following graph of f (x). Which of the following are inflection points off? 5 -8 -7 -6…

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Q: Use the graph of f (x) = x² below to find a number 8 such that a – 1 < 0.2 whenever 0 < |æ – 1| < 8.…

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Q: Find the points on the graph of the function that are closest to the given poir f(x) = x2 - 8, (0,…

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Q: The following is the graph of a function f = f(x). What is the concavity of the graph between x =…

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Q: Use the graph of f (x) = x² below to find a number 8 such that x – 1 < 0.3 whenever 0 < |x – 1| < 8.…

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Q: The graph of the function f is given below. f is not differentiable at

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Q: Please explain how to solve. Thank you

A: Let's find.

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Q: Consider the following. (x² - 2, f(x) = xS0 5x + 2, x > 0 Sketch the graph of the function. y y 10…

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Q: Consider the following. f(x) = (x + 5)2 (a) Sketch a graph of the function f. y y 12 12 10 10 8 8 6…

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Q: Sketch the graph of the following function and find any discontinuities x2 – 1 f(x) = x - 1

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Q: Use the given graph of the function J to determine the type of discontinuity at each x-value.

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Q: Z-3 f(2) = (z – 3)(x – 1)

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Q: ,on what interval(s), if any, is the graph of f(x) incre: always decreasing

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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.