For what value of `lambda` the function defined by `f(x)={lambda(x^2+2),ifxlt=0 4x+6,ifx0` is continuous at `x=0?` Hence check the differentiability of `f(x)` at `x=0.`

For what value of lambda the function defined by f(x)={lambda(x^2+2),ifxlt=0, 4x+6,ifxgt=0 is continuous at x=0? Hence check the differentiability of f(x) at x=0.

For what value of lamda the function defined by f(x)={{:(lamda(x^(2)+2)", if "xle0),(4x+6", if "xgt0):} is continuous x=0 ? Hence check the differentiablity of f(x) at x=0.

For what value of lambda is the function defined by f(x)={{:(lambda(x^2 -2x)",",ifxle0),(4x +1",",ifx gt0):} continuous at x = 0 ?

For what value of lambda ,is the function f(x)={(lambdax^2-2x,if xle0),(4x+1,ifx>0):} is continuous at x=0

For what value of lambda is the function defined by f (x) f(x)={{:(lambda (x^(2)-2x),if x le0),(4x+1,if x gt0):} is continuous at x = 3

For what value of lambda is the function defined by f(x)={lambda(x^(2)-2x),quad if x 0 continuous at x=0? What about continuity at x=1?

For what value of lambda is the function defined by f(x)={{:(lambda(x^2-2x), ifxlt=0),( 4x+1, ifx >0):} continuous at x = 0 ? What about continuity at x = 1 ?

For what value of lambda is the function defined by f(x)={(lambda(x^2-2x),,,, if xle0),(4x+1,,,, if x>0):} continuous at x = 0 ? What about continuity at x = 1 ?

For what value of lambda is the function defined by f(x)={{:(lambda(x^(2)-2x)," if "x le 0),(4x+1," if "x gt 0):} continuous at x= 0? What about continuity at x =1?