Question

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

Answer 1

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.