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.

Related questions
See all questions in Amplitude, Period and Frequency
Impact of this question
1435 views around the world
You can reuse this answer
Creative Commons License