Question: A function f () is said to have a removable discontinuity at x = a if: 1. f is either not defined or not continuous

A function f () is said to have a removable discontinuity at x = a if: 1. f is either not defined or not continuous at x = a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x = a. 2x2 + 6x - 8 Let f (ac) = x- 1 Show that f(x) has a removable discontinuity at a = 1 and determine what value for f(1) would make f(x) continuous at x = 1. Must define f(1) =

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!

Part 2: Continuity A function f() is said to have a removable discontinuity at x = c if both of the following conditions 1. f is either not defined or not continuous at x = c. 2. f(c) could either be...

Question 10 of 15 View Policies Show Attempt History Current Attempt in Progress Incorrect. > 0/7 E X Find values of x, if any, at which f (x) = is not continuous. 18x2 + x Enter your answers in...

A function f is said to have a removable discontinuity at x = c if limf (x) exists but f is not continuous at x = c, either because f is not defined at c or because the definition for f(c) differs...

please help me solve these (1 point) A function f(x) is said to have a removable discontinuity at x = a if both of the following conditions hold: 1. f is either not defined or not continuous at x =...

Section 1.5: Problem 1 {1 point] Previous Problem Problem List Next Problem Let 2 .1: +9 2: = . ft ) 9 _ :2 Find the points of discontinuity of f. For each of them give the number C at which the...

Problem 8. (1 point) 1 is discontinuous and state the type of discontinuity: x _ Determine the point at which the function f{x) : removable, jump, innite, or none of these. )7 : .1. Choose the type...

Section 1.5: Problem 1 {1 point] Previous Problem Problem List Next Problem Let 2 .1: +9 2: = . ft ) 9 _ :2 Find the points of discontinuity of f. For each of them give the number C at which the...

A function f ( x ) is said to have a removable discontinuity at x = a if: (1 point) A function f(x) is said to have a removable discontinuity at x = a if: 1.f is either not defined or not continuous...

Please refer to document. Demarcus Avery Brewer MAT 265 ONLINE B Fall 2021 Assignment Section 1.5 due 10/24/2021 at 11:59pm MST Problem 1. (1 point) Problem 2. (1 point) Let Let f(x) = *+ 16 f (x) =...

Felton Company has income from operations of $51,250, invested assets of $280,000, and sales of $644,000. Use the DuPont formula to compute the rate of return on investment and show (a) The profit...

1: List at least six (6) features of desktop and cloud-based computerised accounting systems. 2A: List examples two (2) organisational policies and procedures that would need to be amended when...

Sidney, who is not a CFP certificant, asks Alison, who is a CFP certificant and licensed insurance broker, to execute a $ 1 million term life policy to Sidney s client, Sally. For this specific...

Section 126 of the Real Estate Agents Act 2008 holds that: a. there must be a verbal understanding between the vendor and agent to receive a commission b. there must be a signed agency agreement in...

1. Given your basic mental state, i.e. the state you often return to. Give this state a name that you recognize and that is easy to remember, such as irritability, frustration, joy, etc. Also give...

5. The next time a negative event occurs, or a negative memory occurs, think about how you need to perform to make this a success story.

1. To understand the impression you want the other or the others to have of yourself.