Question #bcc54

1 Answer
Feb 5, 2018

Domain: #x in RR#
Range: #y<=8#

Explanation:

The domain is all real numbers because there is no value of #x# that cannot be substituted.

#f(x)# is a transformation of #y=x^2#, which has a natural range of #y>=0#.

To get #f(x)# we reflect over the #x#-axis and then translate #x^2# down 8 units, which changes the range to #y<=8#.