Question: Using the definition of continuity show whether each function is continuous: x2 +1, x 3 3212 - 5 16* + 1, x> 4 Jx -

Using the definition of continuity show whether each function is continuous:

Using the definition of continuity show whether each function is continuous: x2

x2 +1, x 3 3212 - 5 16* + 1, x> 4 Jx - 4, 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!

Q:

9. Sketch a graph of f(x) given the following functional values and limits. x- -3- lim f(x) = 2, lim f(x) = -3, lim f(x) = 2, f(-5) = 4, f(-3) = 2, f(1) = -5 x-1 A 3 -6 -5 -4 -3 -2 -10 1 2 3 4 5 6 X...

Q:

Use the graph of fix) below to evaluate each 1. Hm f(x) of the given limits. If the limit does not exist, write "does not exist" and explain why. 2. Hm f (x) HI 3. Im f(x) IL 4. lim f(x) -H 5. At...

Q:

M Inbox (9,036) - brando x o Mail - Brandon C Arch X Section 5.1 X P Do Homework - Sectic X *Course Hero X Mathway | Algebra Prc X C Home | Chegg.com X + X CA...

Q:

3. Determine if the function f (x) is continuous at x = 4. Explain your choice in complete sentences using the definition of continuity. x2 - 16 f (x ) = if x # 4 x - 4 3 if x = 4

Q:

3. Determine if the function f (x) is continuous at x = 4. Explain your choice in complete sentences using the definition of continuity. x2 - 16 f (x ) = if x # 4 x - 4 3 if x = 4

Q:

Please show work. 1. Using the definition of continuity, determine whether the following function is continu- ous at a = 2, 12 - 81 + 12 f() = 2+32 -10 (1) 2. Determine the following limit and...

Q:

Use the Laws of Continuity and Theorems 2 and 3 to show that the function is continuous. 7. f(x) = x + sin x 9. f(x) = 3x + sin x 11. f(x) = 1 / x2 + 1

Q:

Can you please help me with the problems that are circled and also the two questions on the last scan? Thanks so much!!! :) SECTION 3.2 The Derivative as a Function 143 46. Of the two functions f and...

Q:

textbroker.com X Final Exam X X Canvas LMS X MATH140-12141 (ONL) X BusCalc.pdf X *Dashboard X -> C A Not Secure | opentextbookstore.com/buscalc/BusCalc.pdf Update : Suggested Sites M Gmail YouTube...

Q:

Example 12 Discuss the continuity of the function defined by x+2, if x 0 Solution Observe that the function is defined at all real numbers except at 0. Domain of definition of this...

Q:

Why are the terms respecting and establishment important when interpreting the meaning of the Establishment Clause?

Q:

Ali lives in accommodation owned by his employer and has a salary of 21,000 a year. The accommodation has an annual value of 11,200 and it cost his company 140,000. Living expenses of 2,350 are paid...

Q:

9. Given the functions f: x 5x - 9 and g:x2-6x, find the values of x for which (a) f(x)=16 (b) g(x)=14 (c) g(x)=x (d) f(x) = 2x (e) f(x) = g(x) (f) 2f(x)=3g(x)

Q:

What is the correct option. This is a comlaw question. Lennie drives into a car park. At the entrance is a sign that says "Park at your own risk. Stat Carpark is not responsible for any damage to...

Q:

2. You are asked to provide information to the board of the company you work for. How would you convey this information if the aim is: a) That they will remember the information for a long time. b)...

Q:

7. Give examples of information-overload from your everyday life. Review the six consequences that information-overload can lead to and discuss the examples in relation to all the six points.

Q:

6. What does it mean when we say that our interpretation of information is dependent on our prior knowledge and our values?