How do you find the domain and range of # (2/3)^x – 9#?

1 Answer

Domain: #(-oo, +oo)#
Range: #(-9, +oo)#

Explanation:

For the domain:
x can take any value. Therefore
Domain: #(-oo, +oo)#

The horizontal asymptote of the graph is #y=-9#, therefore it does not include the value #y=9#. It is the approached value of the function as x approaches #+oo#

Range: #(-9, +oo)#

Kindly see the graph for visual aid.
Desmos.com

God bless....I hope the explanation is useful.