If f(x) ` {: (=x^(3)", if " x lt 1//2 ),(= ax^(2)", if " x ge 1//2 ):}` is continuous at x=1/2 , then a = `……`

If f(x)= {:(2x^(2)-3", ... if " x lt2 ),(5ax ", ... if " x ge 2 ) :} is continuous at x = 2 , then : a =

If f(x) {:(=3k", if "x le 1/2 ),(= 3/2-2x " , if " 1/2 lt x lt 1 ):} is continuous at x = 1/2 , " then " k = …….

If f(x) {:(=x^(2)-1", if "x lt 3 ),(= 2ax ", if "x le 3 ) :} is continuous at x = 3 , then a = ……

If f(x) {:(=px-q", if " x le 1 ),(= 3x ", if " 1 lt x lt 2 ), (= qx^(2)-p ", if " x ge 2 ):} is continuous at x = 1 and dicontinuous at x = 2 , then

If : f(x) {:(=ax^(2)-b", ... " 0 le x lt 1 ),(=2", ... "x=1 ),(= x+1", ... " 1 lt x le 2 ) :} is continuous at x= 1 , then the most suitable values of a and b are

If f(x)={:{(ax^(2)-b", for " 0 le x lt1),(2", for " x=1),(x+1", for " 1 lt x le 2):} is continuous at x=1 , then the most suitable values of a, b are

Find the value of 'a' so that f(x) = {{:(ax + 3 " if " x lt 3 ),( 3 - x + 2x^(2) " if " x ge 3 ):} is continuous on R .

Let f(x) = {{:( x, if , x ge 1),( x^(2), if , x lt 1):} is f a continuous function ? Why ?

Let f(x)={{:(x^(3)-1",", x lt2),(x^(2)+3"," , x ge 2):} Then