How do you find the domain and range of #f(x) = -|x+4|#?

1 Answer
Oct 2, 2017

Answer:

Domain #{ x in RR }#
Range #{y in RR | 0 < y < oo}#

Explanation:

Since #f(x)=-|x+4|# is a continuous function there are no restrictions on #x# so domain is:

#{x in RR }#

Maximum value of the function is #0# this occurs when #x=-4#.
Because the value in absolute bars is always positive, the minimum value will be #-oo#

So range is;

#{y in RR | -oo < y <= 0}#