Question: 8x -3 if x - 7 Let f(x) = -2x +b if x > 7 If f (a) is a function which is continuous everywhere,

8x -3 if x - 7 Let f(x) = -2x +b

8x -3 if x - 7 Let f(x) = -2x +b if x > 7 If f (a) is a function which is continuous everywhere, then we must have b = Now for fun, try to graph f(ac). Check

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!

Evaluate the following Lomcle 1) him 2 = X-7:0 A. O B. DO C. - 1 Djundefined 2) Lim ac-+ x- 6 = x-73 203-9 A -5/ 6. -2/B C. 2/3 D. 5/ 2) him 2 2 - 4 - Al B. O C. - 4 D. OO 4) Lim Sac2- 30c+1 = 2-90...

p(x) = (x + a)(x + 2)\"(x + c)\" is a polynomial function. Determine at, cm, m such that all the conditions listed below are satisfied: 1) the x-intercepts of the graph of p(x) are (0, 0} and (3, 0}...

Section 1.5 1. Find values of a and b so that the following function is continuous everywhere. [5p] ax2 + b for x 2. 2. Use the Intermediate Value Theorem to show that the following equation [6p] 23...

The Tougher Example x- 7 Let f (x) = Vx+2-3 a) Algebraically find the region of continuity for f (x) and write you solution in interval notation. Recall that a function is continuous over its domain...

3 For each function find the inverse the domain and range of the function domain and range of the inverse and determine whether the inverse is a functi a f x x 7 b f x 2x 2 c f x x d g x 2x 1 3

Algebra 2 w/Support Unit 4C Test Review Name A Wydiah defferso 1. Given the function, f(x) = 2x4 + 2x2 - 4x, what is the maximum number of turning points the graph can 2-15-24 have? 2. Given the...

Multiple Choice Identify the choice that best completes the statement or answers the question. (1 mark each) #1 to #6 - Knowledge, #7 to #9 Application, #10 - #11 - Thinking 1. Calculate the slope of...

MATH 301 Week 5 Homework, Fall, 2016. Due Thursday, October 20. NAME: _____________________________________ Instructions: You are encouraged to discuss homework, use online resources, and to seek...

Help me .to solve the following attachments. Q2. (a) Show that N(u, (?), is not a member of the Regular Exponential Class. [Marks 4] (b) Consider a random sample of size n from a Normal distribution,...

homework: ("IT it is discontinuous, be sure to describe the discontinuity) In Exercises 1-10, determine whether the function is continuous on the entire real line. Explain your reasoning. 1 . f ( x )...

1. Why did Facebook decide to make it more difficult for users to control who has access to the personal information they post on the Web site? 2. Which type of control is of concern to the Facebook...

Following are six situations that involve the audit risk model as it is used for planning audit evidence requirements in the audit of inventory. Required a. Explain what low, medium, and high mean...

How many years ( t o two decimal places ) will i t take a n investment o f $ 3 0 0 0 t o grow t o $ 5 4 4 0 i f i t i s invested a t 5 . 2 5 % compounded continuously? years

The controller of Pueblo Ceramics Inc. wishes to prepare a cost of goods sold budget for April. The controller assembled the following information for constructing the cost of goods sold budget: Use...

Myrtle Air Express decided to offer direct service from Cleveland to Myrtle Beach. Management must decide between a full-price service using the companys new fleet of jet aircraft and a discount...

Nutty Candy Company budgeted the following costs for anticipated production for August: Prepare a factory overhead cost budget, separating variable and fixed costs. Assume that factory insurance and...

Donner Racket Company manufactures two types of tennis rackets, the Junior and Pro Striker models. The production budget for March for the two rackets is as follows: _________________Jounior...

Ultimate Audio Company manufactures two models of speakers, U500 and S1000. Based on the following production and sales data for June, prepare (a) a sales budget and (b) a production budget....

Tori and some other childeen experimented with balls to see which ones rolled. First using a piece of cardboard to use as a ramp, they angled it on a block to the floor to test the balls. Then Tori...

Can leaders be trained to be more effective?

How does transformational leadership differ from transactional leadership, and which behaviors set it apart?

How does leadership affect job performance and organizational commitment?