[" 34.For what values of "lambda" ,is the function : "],[qquad f(x)={[lambda(x^(2)-2x),," if "x<=0],[4x+1,," if "x>0]" is 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)={lambda(x^(2)-2x),quad if x 0 continuous at x=0? What about continuity at x=1?

For what value of lamda is the function f(x)={{:(lamda(x^(2)-2x)", if "xle0),(4x+1", if "xgt0):} continuous at x=0 ? What about continuity at x=1 ?

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

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