Question: Recall that a function f(x) is continuous at a value x = a if 1. the limit of f(x) as x approaches a exists 2.

Recall that a function f(x) is continuous at a value x = a if 1. the limit of f(x) as x approaches a exists 2. the limit of f(x) as x approaches a equals f(a). Given the piecewise defined function -la +k, ifx 3 what value of k makes g(x) continuous at x=3

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!

BUSINESS CALCULUS INCOURSE TEST #1 (UNITS 1 & 2) SEMESTER 2 2022 SECTION A Instructions: Attempt ALL questions in this section. 1. Let f(x) be a function; what does it mean to say "f(x) has a limit...

( a) use the formula for Taylor Polynomials, find the Taylor Polynomial of degree 2 centered at a = 8 for the function f ( x ) = 35x. (b ) Approximate the value of 3 9 using your degree 2 polynomial...

1. From the graph of f, state each xvalue at which f is discontinuous. Explain why the function is discontinuous at that point. For each x-value, determine whetherf is continuous from the left, from...

(2). If f(x) is defined at 3, then lingf (x) exists. 1-+3 (3). If both limf(x) and f(3) exist, then f (x) is continuous at 3. (4). If f(x) is continuous at 3, then lim f(x) exists. 24. For the...

Chrome File Edit View History Bookmarks Profiles Tab Window Help G x 0 ~ Q 8. Sat Jun 17 7:33 PM LB .. ackboard Learn 3. Pearson MyLab and Mastering. X Course Hero...

BASIC CALCULUS Lesson is all about Limits and Continuity ( Learning Targets is all about Continuity at a number and Continuity on an interval ) Page CHECK YOUR KNOWLEDGE! Activity 1: Answer the...

I don't understand how to solve them please help Question 7: (1 point) Sketch the graph of an example of a function / that satisfies all of the given conditions. *- 3+ lim f(x ) = 4, lim _ f(x) =2,...

Increasing and Decreasing Functions A function is increasing on a particular interval if for any, then Ie: As x increases, A function is decreasing on a particular interval if for any, then Ie: As x...

A function is increasing on a particular interval if for any, then Ie: As x increases, A function is decreasing on a particular interval if for any, then Ie: As x increases, For a continuous and...

(a) The Machinery Account of a Factory showed a balance of 95 Lakhs on 1st April, 2020. The Books of Accounts Depreciation is written off of the Factory are closed on 31st March every year and @ 10%...

Write parametric equations for two perpendicular lines that intersect at the point (3, 2), with one line having a slope of -0.5.

stion 1 8 h of the following is not an ethical responsibility of a tax accountant? A tax accountant must obtain from the taxpayer the information necessary to answer all questions on tax retur A tax...

As of January 1 , Year 1 , Braddock, a calendar - year, accrual - method corporation, had accumulated earnings and profits of $ 2 2 5 , 0 0 0 . For its Year 1 tax year, Braddock s books and records...