Question

What is the domain and range of 500(1.08)^x

Answer 1

X) is an element of a real number. This means it could be an integer, fraction or irrational number.

* As x approaches infinity, y approaches infinity.

* As x approaches minus infinity, y approaches 0.

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Domain:

(x) is an element of a real number

Range:

y>0

Answer 2

The domain is all the numbers you are allowed to use for the input without making contradictions or impossiblites such as division by 0 or sqare root of negative numbers

we see that all real numbers will work for x because it won't result in any diviison by 0 or squaer roots of negatives

domain is all real numbers
range

as x approaches negative intinity, the output aproaches 0 (because we get 500(1.08)^-infinity=500/(1.08^infinity) which is basically 0)
as x approahces positive infinity, the output appraochaes infintiy



so

domain is all real numbers
range is y>0 (approaches but does not reach 0)