Question: Prob. # 3: Consider the piecewise function x3+1 if x 50 f (x) = -x+2 if 0 Prob. # 3: Consider the piecewise function if

Prob. # 3: Consider the piecewise function x3+1 if x 50 f (x) = -x+2 if 0

Prob. # 3: Consider the piecewise function if x SO if x-2 a) (6 points) Find lim f(x) algebraically Is f (x) continuous at x = O? Give reasons. Is f (x) differentiable at x = 0? Give reasons. b) (6 points) Find lim f (x) algebraically Is f (x) continuous at x = 2? Give reasons. Is f (x) differentiable at x = 2? Give reasons. c) (8 points) Sketch the graph off (x).

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!

Prob. # 3: Consider the piecewise function x3+1 if x 50 f (x) = -x+2 if 0 Prob. # 3: Consider the piecewise function if x SO if x-2 a) (6 points) Find lim f(x) algebraically Is f (x) continuous at x...

The University of the South Pacific Serving the Cook Islands, Fiji, Kiribati, Marshall Islands, Nauru, Niue, Samoa, Solomons Islands, Tokelau, Tonga, and Vanuatu Faculty of Science, Technology &...

3x2- 11x -4 1. (6 pts) Calculate lim *+-00 12 + x - x2 If no finite limit exists, be as precise as possible among co, -co, or DNE. Justify your answer. Tables alone will not suffice as...

You must show your work for full credit. 1. (3 points) Consider an athlete running a 4-0-m dash. The position of the athlete is given 3 by function 5(t) = t; + 4t where s is the position in meters...

NAME SUBJECT DATE 2 TF 10 11 12 13 14 15 IABCDE 2ABCDE 3ABCDE 4ABCDE SABCDE BABCDE 17 18 19 20 7ABCDE ABCDE ABCDE 21 3 10 ABCDE MAB HABCDE SABC 12 ABCDE MABC 24 2 -5 13ABCDE 14 ABCDE SABCO 26 MABCDE...

BEWARE! When plugging c into a function, if - is obtained, STOP, no conclusions can be drawn. This is called indeterminate form. The best way to deal with indeterminate form is to use algebraic...

2.For this question, we define the rules f(x)=e 1/x , g(x)= sin(2x) cos(3x) and h(x) = ?(x + 2). (a) Write out the following explicitly. You do not need to give a domain and codomain.i. (f ? h)(x)...

1. (6 pts) For each graph, is the graph symmetric with respect to the x-axis? y-axis? origin? (No explanation required. Just answer Yes or No to each question.) (a) (b) Symmetric with respect to the...

University of Maryland University College MATH 107 QUIZ 3 NAME: _______________________________ Summer, 2017 Instructor: Dr. J. Wulu I have completed this assignment myself, working independently and...

MATH 107 QUIZ 3 NAME: __________________________ 1. For each graph, is the graph symmetric with respect to the x-axis? y-axis? origin? (a) Symmetric with respect to the x-axis? ____ y-axis? ____...

Beyonc Corporation factors $175,000 of accounts receivable with Kathleen Battle Financing, Inc. on a with recourse basis. Kathleen Battle Financing will collect the receivables. The receivables...

What are some white box tests?

Which of the following is true of a price floor? (A) The price floor shifts the demand curve to the left. (B) An effective floor creates a shortage of the good. (C) The price floor shifts the supply...

Reflection of Dr. Fred Jones Classroom management and Motivation Part 3 of 3 video

2. Start with a person you want to model. a. Use the five positions to investigate how this person positions himself in relation to others, i.e. how he uses the five positions in his interaction with...

1. Start with a leader that you want to model. a. What is the stated purpose of this person? b. What is the vision of this person? c. How does he seek to achieve his purpose and vision? d. What does...

2. Now change the performance so that you play out the dream in your inner the-atre. Apply colours to the images you envision. Give some pictures a stronger colour than others and vice versa. Also...