`f(x)={(max(|x|,x^2), |x|le2),(8-2|x|, 2lt|x|le4):}` is (a) discontiuous at `x=1` (b) discontinous at `x=2` (c) non differentiable at `x=2` (d) discontinuous at `x=-1`

Let f(x) = {{:("max"{|x|,x^(2)}", "|x|le2 ),(8-2|x|", "2lt|x|le4):} Let S be the set of points in the interval (-4, 4) at which f is not differentiable. Then, S

If f(x) = {(2,,,0 le x lt 1),(c-2x,,,1 le x le 2):} is continuous at x = 1 , then c equals

If f(x)={{:(,x^(2)+1,0 le x lt 1),(,-3x+5, 1 le x le 2):}

Let f (x)= {{:(2-x"," , -3 le x le 0),( x-2"," , 0 lt x lt 4):} Then f ^(-1) (x) is discontinous at x=

Let f(x)={{:(1+x",", 0 le x le 2),(3-x"," ,2 lt x le 3):} find (fof) (x).

If f(x) ={(|x|,",",x lt 0),(x,",",0 le x le 1),(1,",",x gt 1):} , then f(x) is discontinuous at

If f(x)=x^3(sgn [x] + {x}):0le xlt2, cosx+|x-2| ; 2 le x le pi Where [.], {.} and sgn (.) represents the greatest integer, the fractional part and signmum function respectively A. f(x) is differentiable at x = 1 B) f(x) is continuous but non-differentiable at x = 1 C) f(x) is discontinuous at x= 2 D) f(x) is non-differentiable at x =2

f(x) {:(=(x^(2))/2" , if " 0 le x lt 1 ),(= 2x^(2)-2x +3/2 ", if " 1 le x le 2 ):} is discontinuous at x = ……