Question

What is the range of the function g(x)=[x]+1

Answer 1

2

3

4

5

Explanation:

g (1)=1+1=2

g (2)=2+1=3

g (3)=3+1=4

g(4)=4+1=5

range =2, 3, 4 ,5.......

Answer 2

Assuming [x] means the closest integer to x

Answer:

`(-\infty, \infty)`

Explanation:

We can see that for any integer
`x`, there will always be a
`[x]`, so there will always be a
`[x]+1`. So, we don't need to worry about the domain impacting the range.

`[x]` can be any integer from
`-\infty` to
`\infty`, and as
`\infty+1=\infty`(at least in terms of a function's range and domain), the range of
`[x]+1` is equal to the range of
`[x]`, which is
`(-\infty, \infty)`.

So, the answer is
`\boxed{(-\infty, \infty)}` and we're done!