The value of b for which the function : ...

The value of b for which the function : `f(x) = {{:(5x-4,"if",0lt x le 1),(4x^(2)+3bx,"if",1 lt x lt 2):}` is continuous at every point of its domain is :

A

-1

B

0

C

1

D

`(13)/(3)`

Text Solution

Verified by Experts

The correct Answer is:

A

Promotional Banner

Promotional Banner

Topper's Solved these Questions

LIMIT AND CONTINUITY
MODERN PUBLICATION|Exercise LATEST QUESTIONS FROM AIEEE/JEE EXAMINATIONS|11 Videos
LIMIT AND CONTINUITY
MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos
LIMIT AND CONTINUITY
MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|7 Videos
INVERSE TRIGONOMETRIC FUNCTIONS
MODERN PUBLICATION|Exercise QUESTION FROM KARNATAKA CET & COMED|10 Videos
MATHEMATICAL REASONING
MODERN PUBLICATION|Exercise QUESTIONS FROM KARNATAKA CET & COMED|9 Videos

Similar Questions

Explore conceptually related problems

Is the function defined by f(x)={{:(x+5," if "x le1),(x-5," if "x gt 1):} a continuous function?

Find the values of a and b such that the function defined by f(x) = {(5,if, x le2),(ax + b,if, 2 lt x lt 10),(21,if,xge10):} is continuous function.

Is the function f defined by f(x) = {{:(x," if "x le 1),(3," if "x gt 1):} continuous at x= 0 ? At x=1? At x=2? .

Find the values of a and b that f(x) = {{:(5",","if"x le 2),(ax+b",","If"2 lt x lt 10),(21",",if x ge 10):} is a continuous function

If the function f(x) ={(ax-b, x le1),(3x, 1lt x lt 2),(bx^(2)-a, x ge 2):} is continuous at x =1 and discontinuous at x =2, then

The total number of local maxima and local minima of the function : f(x)={((2+x)^(3)",",-3ltx le -1),(x^((2)/(3))",",-1lt x lt 2):} is :

Discuss the continuity of the function f given by {{:(x," if "x ge 0),(x^3," if "x lt 0):} .

Discuss the continuity of the function f defined by {{:(x+4," if "x le 1),(x-4," if "x gt 1):} .

If f(x)={{:(sqrt(1+kx)-sqrt(1-kx)," if ", -1le x lt 0),((2x+1)/(x-1), " if ", x le x le1):} is continuous at x = 0 , then the value the of k is

MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )

If lim(x rarr a^(+)) f(x) = l = lim(x rarr a^(-)) g(x) and lim(x rarr ...
Text Solution
|
The following are continuous on (0, pi) :
Text Solution
|
The value of b for which the function : f(x) = {{:(5x-4,"if",0lt x le ...
Text Solution
|
Let f(x) = [{:(5^(1//x),x lt 0),(lambda[x],x le 0","lambda in R):}, th...
Text Solution
|
Let f(x) = [{:((g(x) - g(a))/(x-a),x ne 0),(g'(a),x = a):}, where g is...
Text Solution
|
Let f(x) = {{:(1,x le -1),(|x|,-1 lt x lt 1),(0,x ge 1):}, then :
Text Solution
|
The function f(x) = [x] is :
Text Solution
|
Let f(x) = (1 - cos px)/(x sin x), where x ne 0 and f(0) = (1)/(2). If...
Text Solution
|
Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) =...
Text Solution
|
Let f(x) = (tan (pi//4-x))/(cot 2x)"for x" ne pi//4, then for f to be ...
Text Solution
|
Let f(x) = [{:((x^(2))/(a),0 le x lt 1),(a,1 le x lt sqrt(2)),((2b^(2)...
Text Solution
|
The value of f(0) so that the function : f(x) = (sqrt(1 + x) - (1+x)^(...
Text Solution
|
Let f(x) = (sqrt(1 + sin x)-sqrt(1-sin x))/(x)lim The value, which sho...
Text Solution
|
To make f(x)=(x+1)^(cotx) continuous at x=0,f(0) must defined as
Text Solution
|
If f(x) = (1)/(2) x - 1, then on the interval [0, pi] :
Text Solution
|
The value of x, where the function : f(x) = (tan x log (x-2))/(x^(2) -...
Text Solution
|
Let f(x) = (tan ((pi)/(4) - x))/(cot 2 x), x ne pi//4, the value which...
Text Solution
|
Let f(x) = x + 2, where x le 1 and f(x) = 4x - 1, when x gt 1, then :
Text Solution
|
Let the function f be defined by f(x) = "x sin" (1)/(x), when x ne 0 =...
Text Solution
|
f(x) = (|x-a|)/(x-a), when x ne a, = 1, when x = a, then :
Text Solution
|