Find the values of `a` and `b` so that the function `f` given by `f(x)={1,\ \ \ if\ xlt=3a x+b ,\ \ \ if\ 3

Find the values of a and b so that the function f given by f(x) ={1, if x = 5 is continuous at x=3 and x=5 .

Find the values of a and b so that the function f given by f(x)={a x+1, b,7, ifxlt=3if3

Find the values of a and b so that the function f(x)={x^2+3x+a ,\ \ if\ xlt=1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ b x+2,\ \ \ if\ x >1\ \ \ \ \ \ \ is differentiable at each x in R .

Find the relationship between ' a ' and ' b ' so that the function 'f' defined by f(x)={a x+1\ \ \ ,\ \ \ if\ xlt=3b x+3\ \ \ ,\ \ \ if\ x >3 is continuous at x=3 .

Find the relationship between ' a ' and ' b ' so that the function 'f' defined by f(x)={a x+1\ \ \ ,\ \ \ if\ xlt=3b x+3\ \ \ ,\ \ \ if\ x >3 is continuous at x=3 .

Find the values of a and b so that the function f given by f(x)={ax+b , if 3 = 5 is continuous at x=3 and x=5.

Find the values of a and b , if the function f(x) defined by f(x)={x^2+3x+a ,\ \ xlt=1b x+2,\ \ \ \ \ \ \ \ \ \ x >1 is differentiable at x=1 .

Find the values of a so that the function f(x)={a x+5,\ \ \ if\ xlt=2 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \x-1,\ \ \ if\ x >2\ \ \ is continuous at x=2

Find the values of a and b , if the function f defined by f(x)={x^2+3x+a ; if xlt=1, b x+2 ; if x >1 is differentiable at x=1

Find the relationship between a and b so that the function f defined by: f(x)={a x+1\ \ \ \ \ \ "if"\ x\ lt=3,b x+3"if"\ x >3