Question: . . x. 2 S x S 1 Graph the followmg function: f (x) = 2 x, 1-: x g 3 a. Explain why the

. . x. 2 S x S 1 Graph the followmg function: f (x) = 2 x, 1-: x g 3 a. Explain why the function is continuous at x = l. b. Show that the function is not differentiable at x = l in two different ways. First, give an informal explanation based on the graph of the function Second, use the alternate version of the definition of the derivative f '(x0]= lim Maud one-sided limits to give a formal reason that the x1n'u I. _ x0 derivative fails to exist at x = l

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

pls help with the questions and the graphing :) Question 10 0/1 pt @ Details Find the equation of the tangent line to the given function at the indicated value of x. f (x) = 2 sin (x), x =1 Graph...

x 5 x 12 x 3 x 2 x 5 Consider the graph of the function f x What are the x intercepts Write your answer as ordered pairs separated by a comma if necessary For example if the intercepts were at x 2...

Question 2 (a) For the given graph of the function f, on the left, sketch the graph of of f' on the right. A A (b) For the given graph of the function f, on the left, sketch the graph of of f' on the...

Problem 1: Find all relative extrema for the following function: f(x) =x-3x'+x+3x-66 a. Find f (x) b. Graph f (x) on your calculator. c. The zeros for f (x) are located at x =? d. f'(x) is undefined...

1. (30%) True and False 1. Adr = [-1' , =-2 . 2. If f is continuous then _ _ f(t)dt = f(x). 2x -5 6x2 lim- lim - 1 49 x-27 x-9 3x- = 2 3. 4. The fact that f is an integrable function implies that...

Identifying Types of Functions from an Equation Classify each equation as linear, quadratic, or exponential: a. f(x) = 3x + 2 b. y = 5* c. f (x) = 2 d. f(x) = 4(2)* + 1 e. y = 7(.25) 3x f. y = 4x2 +...

1.a. Consider f: (2,3] - R given by f (x) = 2 Use the e - S definition to show that f is x-1 uniformly continuous. b. Give an example of functions f and g so that each of f and g are uniformly...

(c) f' ( - 1) (d) f (2) - f(-1) 2 - (-1) 16. For the graph of g(x) shown next at the right, list the following quantities in order from least to greatest: (a) the average rate of change of g on [0,...

Find the difference quotient and simplify your answer. f (4 + h) - f(4) f (s) = -5-+9s, , h#0 h Of( 4 + h) - f(4) = 1-h h of( 4 + h)-f(4) = 9-5+ 12 h S Of(4 + h) - f(4) = 9-h h Of( 4 + h) - f(4) =...

please answer true or false, no work shown required 1 . If a function is differentiable, then it must be continuous. m. Since f (x) =1/x is continuous on (0, 1) , f(x) is integrable on (0, 1) . n ....

Do you think the lemons problem would be more severe for stocks traded on the New York Stock Exchange or those traded over-the-counter? Explain.

From the time you first entered school many years ago, instructors have been measuring and evaluating you by imposing standards. In addition, many of you will pursue professions that administer...

What RMP Appendix would you refer to for information on conducting an FSC? A. Appendix C B. Appendix A C. Appendix B D. Appendix D

Successful negotiation relies heavily on planning in the preparation. As a purchasing manager, you are preparing your negotiations with a large supplier who has a strong market position and charged...

1. To provide an understanding that a person in a communication situation conveys three things at the same time: their position, basic interests and values.

4. What is meant by the statement: We are extremely limited in our willingness to allow others to put their own case in a social situation?.

8. Give three examples of how the level of confidence one has in someone can affect a communication situation.