Question #27269

1 Answer
Shell
Dec 8, 2016

The domain is #(-5,9]# and the range is #[-5,6)#.

Explanation:

The domain refers to the included values of #x#.

Looking from left to right, #-5< x<=9#.

In other words, #x# is between #-5# and #9#.
#-5# is NOT included because there is an open circle at #x=-5#.
#9# IS included because there is a dot or closed circle at #x=9#.

The domain may also be written in interval notation as #(-5,9]#.

The curved parentheses means #-5# is not included.
The square bracket means #9# is included.

The range refers to the included values of #y#.

Looking from the bottom of the graph to the top, #-5<=y < 6#

#y# is between #-5# and #6#.
#-5# is included because there is a closed circle at #y=-5#.
#6# is not included because there is an open circle at #y=6#.

The range may be written in interval notation as #[-5,6)#.

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