Question #83615

1 Answer
Jul 22, 2016

#f(3)=4#

Explanation:

To evaluate a function #f(x)# at a given point #a#, we substitute in #a# wherever #x# is in the function.

The absolute value of any real number is the distance of that number from #0# on the number line. That is, #|x|=x# if #x>=0# and #|x|=-x# if #x<0#

With these in mind:

#f(3)=|(3)-5|+2#

#=|-2|+2#

#=2+2#

#=4#