Home
Class 12
MATHS
Find the values of a and b such that the...

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.

Text Solution

Verified by Experts

The correct Answer is:
`a=2, b=1`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the values of a and b such that the function defined as follows is continuous : f(x)={{:(x+2,x le2),(ax+b,2 lt x lt 5),(3x-2, x ge 5):} .

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

The function is defined by f(x) = {(kx^3,if, x le 2),(3,if, x gt 2):} at x = 2 .

Find the relationship between a and b so that the function defined by f(x) = {(ax+1,if, x le 3),(bx+3,if, x gt 3):} is continuous at x = 3.

The function f(x) is defined by f(x) = (x+2)e^(-x) is

The function is defined by f(x) = {(kx+1,if, x le5),(3x-5,if, x gt 5):} is continuous at x = 5. Find k.

Find the realtionship between a and b so that the function f defined by f(x)={(ax+1","," if "xle3),(bx+3","," if "xgt3):} is continuous at x=3

Find the relationship between a and b so that the function f defind by f(x)= {(ax+1, if x le 3),(bx+3, if x gt 3):} is continuous at x=3

A function f is defined by f(x) =2x- 5 find f( -3 )

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