Question

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

Answer 1

Assuming [x] means the closest integer to x

Answer:

$(-\infty, \infty)$

Step-by-step 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!

Answer 2

Answer:

2

3

4

5

Step-by-step 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.......