If f is given by `f(x)={{:(k^(2)x-k,"if "xge1),(2,"if "xlt1):}` is a continuous function on R, then find k .

If the function f(x) given by f(x)={{:(k^(2)x-k,if, x ge1),(2,if,x le1):} is continuous on R then find the values of K.

If ‘f' is given by f(x)= {{:(ax-b,if xlt-1),(3x^(2)-4ax+2b,if-1ltxlt1 "is continous function on Rthen find the values"),(10,if x ge1):} is continuous function on R then find the values of a and b

Is the function f , defined by f(x)={{:(x^(2),"if "xle1),(x,"if "xgt1):} continuous on R ?

Find k if the function is continuous at x=(pi)/(2) if (a) f(x)={{:((k cos x )/(pi-2x),x ne (pi)/(2)),(3,if x=(pi)/(2)):} at x=(pi)/(2) (b) f(x)={{:(kx+1, if x le 2),(cos x,if x gt 2):} at x=2 (c ) if f(x)={{:(k^(2)x-k,if x le 1),(2 , if x lt 1):} is continous on R then find the value (s) of k

If the function 'f' defined by f(x)={{:(kx+1,if,-1lex le1),(x^(2)-1,if, 1le x le2):} is continuous functo on [-1,2] then the find th value of K.

If [x] denotes the greatest integer not exceeding the number x, then f(x) defined by f(x)={{:([x],"if "xlt2),([x]-1,"if "xge2):} is continuous in the interval.

Given that the function f defined by f(x)={{:(,2x-1,"if "x gt 2),(,k,"if x=2"),(,x^(2)-1,"if "xlt 2):} is continuous. Then the value of k is

Is the function f, defined by f(x) = {(x^2, if x le1),(x, if x > 1):} continuous on R?