show that ` f(x) ={{:( (2x-1)",",if , x lt2),( (3x)/2",,if x ge 2):} ` is continuous

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

Function f(x)={(x-1",",x lt 2),(2x-3",", x ge 2):} is a continuous function

Function f(x)={(x-1",",x lt 2),(2x-3",", x ge 2):} is a continuous function

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 = ……

Show that the function f(x)={:{(1-x", " x lt1),(x^2-1 ", " x ge 1):} is continuous but not differnetiable at x=1

Show that the function f(x)={:{(1-x", " x lt1),(x^2-1 ", " x ge 1):} is continuous but not differnetiable at x=1

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

If the function f(x) ={(ax-b, x le1),(3x, 1lt x lt 2),(bx^(2)-a, x ge 2):} is continuous at x =1 and discontinuous at x =2, then

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 .

The function f(x) = {(x+2, ",",1 le x lt 2),(4, ",", x = 2 ),(3x-2, ",", x gt 2 ):} is continuous at