`f(x)=x^2-2x+2, x in [0, 2]`

Let f(x)=x(x-1)(x-2) , x in [0,2] Find f(0) and f(2)

f(x)=2x^(2)-3x+2in[0,2]

Given f(x+2)=x^2-6x+2 , find f(0), f(2), f(-2) and f(x).

Show that the function f defined as follows, is continuous at x=2 , but not differentiable: f(x)={3x-2 2x^2 5x 0 2

Which of the following f has removable discontinuity at x=x_0 ? If the discontinuity is removable, find a function g that agrees with f for x ne x_0 and is continuous on R. f(x)=(x^2-2x-8)/(x+2),x_0=-2

Discuss the continuity of the function f(x), where f(x)= {:{(2-x, x < 0),(2+x,xge0):} , at x = 2,0 and -2.