WebFeb 11, 2024 Β· a = 1/3 \\ \\ \\ , and b = -1/6 We have: f(x)={ ((x^2-4)/(x-2), x le 2), (ax^2+bx+3, 2 < x < 3), (2x - a+ b, x ge 3) :} The issue of continuity will be focused on the intersection points between the various function definitions. i.e. x=2and x=3. x=2: Using the appropriate definition of f(x), when x=2 f(x) = (x^2-4)/(x-2) We note that when x=2 the β¦ WebClick hereπto get an answer to your question οΈ Find the values of a and b that makes f continuous everywhere. f (x) = x^2-4x - 2 if x 3. Solve Study Textbooks Guides. Join / Login >> Class 12 >> Maths >> Continuity and Differentiability ... If f (x) is continuous at x = 2 then, the value of ...
(b) To make f continuous at x=2, f(2) should be defined as β¦
WebJan 27, 2024 Β· Mathematics High School answered (b) To make f continuous at x=2, f (2) should be defined as what value? Justify your answer. See answer Let f be the function β¦ WebSOLUTION 12 : First, consider separately the two components which determine function f. Function y = A 2 x - A is continuous for for any value of A since it is a polynomial. Function y = 4 is continuous for x < 3 since it is a polynomial. Now determine A so that function f is continuous at x=3 . Function f must be defined at x=3 , so new inspiron 13 γγ©γγ
AP Calculus Semester Exam Flashcards Quizlet
WebDec 20, 2024 Β· Example 2.6.6: Continuity on an Interval. State the interval (s) over which the function f(x) = x β 1 x2 + 2x is continuous. Solution. Since f(x) = x β 1 x2 + 2x is a rational function, it is continuous at every point in its domain. The domain of f(x) is the set ( β β, β 2) βͺ ( β 2, 0) βͺ (0, + β). WebFinal answer. Step 1/1. Given function is f ( x) = { b β 2 x x < 2 β 24 x β b x β₯ 2. Now to find the values of b for which f is continuous function at x=2. Let f is continuous function at x=2. Therefore by definition of continuity we get, WebIs it fair to say that while the function f (x) = βx is continuous on the interval [0,β), it is not continuous at the point x = 0 because the two-sided limit doesn't exist? β’ ( 2 votes) Jerry Nilsson 5 years ago For a function to be continuous at the endpoints of its domain it's enough for the one-sided limit to equal the function value. ( 4 votes) new inspiron 14 2-in-1 amd