Find a function f(x), perhaps a piecewise function that is defined but not continuous on (-infinity, infinity) for which the function lf(x)l is both defined and continuous on (-infinity, infinity).
f(x)=
lf(x)l =
5 answers
y = x^2 ?
oh, sorry, that is continuous
how about y = x for x >0
y = -x for x <0
how about y = x for x >0
y = -x for x <0
how about something really simple, like
f(x)
= 1 for x >= 0
= -1 for x < 0
f(x)
= 1 for x >= 0
= -1 for x < 0
nope, also continuous
try y = x+a for x>0
and y = -x-a for x</=0
try y = x+a for x>0
and y = -x-a for x</=0
LOL, too easy Steve :)
1 answer