`f(x) {{:(x + 1"," if x ge 1 ),(x^(2)+ 1"," if x lt 1):}`

Find all points of discontinuity of f, where f is defined by f(x)={{:(x+1," if "x ge1),(x^(2)+1," if "x lt 1):}

Find all points of discontinuity of f, where f is defined by f(x)={{:(x+1," if "x ge1),(x^(2)+1," if "x lt 1):}

Find all points of discontinuity of f, where f is defined by f(x)={{:(x+1," if "x ge1),(x^(2)+1," if "x lt 1):}

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

Let f(x)= {:{ (x + a , x ge 1 ) , ( ax^(2) + 1, x lt 1) :} then f(x) is derivable at x =1 , if

Let f(x)= {:{ (x + a , x ge 1 ) , ( ax^(2) + 1, x lt 1) :} then f(x) is derivable at x =1 , if

If f (x) = {{:(x - 5 ," if ",x le1),(4x^(2)-9," if ",1 ltx lt 2),(3x + 1," if ",x ge 2):} , then the right hand derivative of f(x)at x = 2 is . . . . .

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