if`f(x)=`{x^3+x^2,for 0lt=xlt=2x+2` ,for2

if f(x)={x^3+x^2,for0lt=xlt=2x+2,for2

If f(x)={1+x, for 0lt=xlt=2 3-x, for 2lt x lt=3 then the number of values of x at which the function fof is not differentiable is 2 (b) 1 (c) 3 (d) 0

If f(x) ={ x^2-1, 0 lt x lt 2 , 2x+3 , 2 le x lt 3 then the quadratic equation whose roots are lim_(x->2^+)f(x) and lim_(x->2^-)f(x) is

The number of points of discontinuity of g(x)=f(f(x)) where f(x) is defined as, f(x)={1+x ,0lt=xlt=2 3-x ,2 2

Iff(x)={3x^2+12 x-1,-1lt=xlt=2 37-x ,2

The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10 The relation g is defined by g(x)={x^2,0lt=xlt=3 3x ,2lt=xlt=10 Show that f is a function and g is not a function.

The relation f is defined by f(x)={x^2,0lt=xlt=3 3x ,3lt=xlt=10 The relating g is defined by g(x)={x^2,0lt=xlt=3 3x ,2lt=xlt=10 Show that f is a function and g is not a function.

Discuss the applicability of Rolles theorem on the function f(x)={(x^2+1 ,, if \ 0lt=xlt=1),(3-x ,,if 1ltxlt=2):}

Show that f(x)={1+x^2,if0lt=xlt=1 and 2-x if x >1 is discontinuous at x=1

If f(x)=max{x^3, x^2,1/(64)}AAx in [0,oo),t h e n f(x)={x^2,0lt=xlt=1x^3,x > 0 f(x) = { 1/(64), 0 lt= x lt = 1/4 x^2, 1/4 1 f(x)={1/(64),0lt=xlt=1/8x^2,1/8 1 f(x)={1/(64),0lt=xlt=1/8x^3,x >1/8