" EXAMPLE 8If "f(x)={[|x|+1,x<0],[0],[|x|-1,x=0]" .For what value (s) of "a' does "lim_(x rarr a)f(x)" exist? "

" 8.If the function "f" is defined by "f(x)={[x+2,,x>1],[2,,-1<=x<=1," "],[x-1,,-3

If f(x) = [x] and g(x)=|x| the value of f(g(8/5))-g(f(-8/5)) is

The range of f(x)=(x^(4))/(1+x^(8)) is

The range of f(x)=(x^(4))/(1+x^(8)) is

If f(x)=[(x,xlt1),(x^(2),1lexle4),(8sqrt(x),xgt4):} the find f^(-1)(x) .

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

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

If f(x)=m a xi mu m{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),0lt=xlt=1/4x^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