41-43 Find the numbers at which f is discontinuous. At which of these numbers is f continuous from the right, from the left, or neither? Sketch the graph of f. if x<-1 41. S(x) - {x 1/ if x 1

Q: 8. A function is called even if f(x) = f(-x) and a function is odd if f(x) = f(-x). Suppose that f…

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Q: 166 CHAPTER 2 Limits and Derivatives 64. Find f'(0) and f'-(0) for the given function f. Is f…

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Q: 37. The accompanying figure shows the graph of a function f(x) with domain [0, 2) and range (0, 11.…

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Q: 14. Determine the open intervals on which the function is increasing, decreasing, or constant.…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2. Let f be the function given by f (x) = x3 – 5x2 + 3x + k, where k is a constant. (a) On what…

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Q: Consider the function f : R → R, defined by 3 2+ x -1 -

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Q: The graph of F' (x) is given below. Suppose that F(x) is continuous and F(0) = 0. Graph F(x) on the…

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Q: Q#1. a. Give an example of a function g(x) that is continuous for all values of x except x = -1…

A: A non-removable discontinuity is any other kind of discontinuity. (Often jump or infinite…

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Q: See picture below. Can you please show me the steps to solve this?

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Q: Q1. continuous at every number in its domain. State the domain. g(x)= 3r - 1 x² + 2x - 15 a) why the…

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Q: f(x) = - 36 Find the x-values (if any) at which f is not continuous. Is the discontinuity removable?…

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Q: x 2) Discuss the continuity of the graph of f(x) given below on the closed interval [-4, 2] D(-4,6)…

A: This question is related to continuity of functions, we will solve it using given information.

Q: Determine if the given function is continuous at 3. * x² + 3 f(x) = {3 – 4x (x – 12 x< 0 0< x< 3 %3D…

A: Given the query is find function is continuous or not at x = 3.

Q: 8. Sketch the graph of a function f(a) that satisfies all of the following conditions. f(-2) = f(2)…

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

Q: 6. The graph of f is given. State, with reasons, the numbers at which f is not differentiable. y 4 *

A: Given graph

Q: Determine if the given function is continuous at O. * (x² + 3 f(x) = {3 – 4x (x – 12 x 3

A: This question can be solved using the concept of continuity of a function at a point.

Q: 22. Which of the following statements about the functions y = f(x) and y f(x) is true? A. If the…

A: Here, to find the correct statement for the functions y=f(x),y=1f(x)

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Q: The graph of f is pictured below. Determine each of the following. (If infinite, specify either o or…

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Q: 18. Sketch a graph of a function that satisfies the following conditions • The domain of f(x) is…

A: We draw the graph step by step . For the graph we use different colours which represents the various…

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

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Q: 2 2 ATgraph of the function f(x) is given above. This is the entire graph of f. (a) Find intervals…

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Q: 3. Consider the function f, defined on R, whose graph on the interval [-3,3] is given below: -2 -1 1…

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A: a) Given that f(x) is a continuous function. But it is not differentiable at x=1 and x=3  So it must…

Q: 41-43 Find the numbers at which f is discontinuous. At whicl of these numbers is f continuous from…

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Q: 6. You are given the graph of the function f(x). 6. Answer the following questions about f(z). a) At…

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Q: 25-26 (a) Show that f has a removable discontinuity at x = 3. (b) Redefine f(3) so that f is…

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Q: A. (a) Sketch the graph of the function given (b) Determine if it is continuous at x, (c) Identify…

A: We will make graph piecewise. One for x&lt;=0 and other for x&gt;o.

Q: 2. Let f be the function given by f (x) = x³ – 5x²+ 3x + k, where k is a constant. (a) On what…

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Q: Determine if the given function is continuous at 3. * ( x + 7 |x – 2| f(x) = { x? – 2x x 3 9x 2х — 3

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Q: (d) Draw the graph of the function f on graph paper or make a graph of the function f using…

A: The figure above shows the complete concept of the epsilon-delta definition of limits. That is for…

Q: a. Find the open interval(s) on which the function is increasing and decreasing. b. Identify the…

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