What is the domain and range of #h(t)=4/t #?

1 Answer
Jul 12, 2016

Answer:

The domain is #{x|x != 0}#, and the range is #{y|y !=0}#.

Explanation:

Observing a graph of the function is very helpful in determining the answer here:

We can see that any number will work as an input, except for #0#. This is because #4/0# is undefined.

Thus, any number except for #0# is in the domain of the function.

The other thing you may notice is that the function can be an incredibly large value, but while it gets very close to #0#, it never actually reaches that number. (#0# is the limit of the function as #t -> infty# but this is not a defined value).

Thus, any number except for #0# is in the range of the function.