How do you find the domain & range for # g(t)= cos (1/t)#?

1 Answer
Roella W.
Jan 29, 2016

Domain - all real numbers except zero.

The range is #-1<=g(t) <=1#

Explanation:

The domain is the set of #x# (or in this case #t#) values for which the function is valid.
In this case it doesn't matter how big or small #1/t# gets, positively or negatively, as it will still form a valid angle as long as it is a real number. Therefore #1/t# is only invalid when #t=0#

Domain - all real numbers except zero.

The range is #-1<=g(t) <=1# as cosine is always in this range.

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