the function `f(x)=3x-1 , x<1` and `f(x)=x^2, x>2 ` is continuous on

Prove that the function f(x) =2x^2-3x+2 is continuous at at x=1.

Show that the function f(x)={|2x-3|[x]x 0 is continuous but not differentiable at x=1

Function f(x)={x-1,x =2 is a continuous function

If f(x)={(x^2+1", "x ne 1),(" "3 ", "x=1):} , then check whether the function f(x) is continuous or discontinuous at x=1

If f(x)={(x^2+1", "x ne 1),(" "3 ", "x=1):} , then check whether the function f(x) is continuous or discontinuous at x=1

What is the value of k for which the following function f(x) is continuous for all x? f(x)={{:((x^(3)-3x+2)/((x-1)^(2)),"for "xne1),(k,"for "x=1):}

Find the value of ' a ' if the function f(x) defined by f(x)={2x-1,\ \ \ x 2 is continuous at x=2

Prove that the function f defined by f(x) = x^3 + x^2 -1 is a continuous function at x= 1.

Determine the constant k, so that function f (x) is continuous at the indicated points : f(x)= {((x^2-3x+2)/(x-1),if,x,ne,1),(k,if,x,=,1):} at x=1.