Question #b1785

1 Answer
Dec 5, 2017

Domain #x in R-{4}#

Range #y in {-1,1}#

Explanation:

#f(x)=abs(x-4)/(x-4)#

#x-4=0#

#x=4#

when #x<4#

#f(x)=abs(x-4)/(x-4)=(4-x)/(x-4)=-1#

#f(x)=-1#

when #x>4#

#f(x)=abs(x-4)/(x-4)=(x-4)/(x-4)=1#

#f(x)=1#

then

Domain #x in R-{4}#

Range #y in {-1,1}#