True or False : The function f(x) = {:...

True or False :
The function `f(x) = {:{(x+a, xge1),(ax^2 +1, x <1):}` is continuous at x = 1, whatever 'a' may be.

CONTINUITY AND DIFFERENTIABILITY
PRADEEP PUBLICATION|Exercise EXERCISE|788 Videos
APPLICATIONS OF INTEGRALS
PRADEEP PUBLICATION|Exercise EXERCISE|162 Videos
DETERMINANTS
PRADEEP PUBLICATION|Exercise EXERCISE|342 Videos

Similar Questions

Explore conceptually related problems

True or False : The function f(x) = log x^2 has only one point of discontinuity.

True or False statements: The function f(x) = 1/3 x^3 - x is strictly decreasing on (-1,1)

True or False : The function f(x) = |sinx| is differetiable at all x in R .

True or False : The function f(x) = |x-1| is a continuous function.

True or False statements: The function f(x) = x^(1/3) is a strict increasing function on R.

True or False statements: The function f(X) = log_(1//4) x is strict increasing on (0, infty)

Find a,b so that the function f(x) = {:{(1,xle3),(ax +b, 3 < x < 5),(7,xge5):} may be continuous at x = 3 and x = 5

If the function f(x) = {:{(3ax + b, if x > 1),(11, if x = 1),(5ax - 2b, if x < 1):} is continuous at x = 1, find the values of a,b.

True or False statements: The function f(X) = x|x| is strictly increasing on R.

Examine the continuity of the function f(x) = {:{(x+1,xle2),(2x-1,x>2):} at x = 2