" If "f(x)={[k^(2)x-k,jfx>=1],[2,quad " if "x<1]" is a continuous function on "R" ,then the positive value "

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 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(x)={[x^(2)-2x(k+1)+2,x geq1],[x-1,x<1]}, is continuous and differentiable,then the value of k is

If f(x)={(2^(x+2)-16)/(4^x-16),if x!=2k ,if f(x) is continuous a t x=2, find k

Let f:R to R be defined by : f(x)={(k-2x",","if "x le -1),(2x+3",","if "x gt-1):}. If f has a local maximum at x = -1, then a possible value of k is :

If f(x) = {:((8^(x)-2^(x))/(k^(x)-1)", if " x != 0 ),(=2", if " x = 0 ):} is continuous at x = 0, then k = ….

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