Discuss the surjectivity of the following functions: `f: R->` given by` f(x)=x^3+2 `for all ` x in Rdot`

Explanation

Here, `f: R->R.`

`f(x) = x^3+2` for `x in R.`

Here,
When `x->- oo`,then, `f(x) -> -oo.`

When `x-> oo`,then, `f(x) ->oo.`

So, this function is travelling from `R->R`.

Domain and range of this function is `R`. It means `f(x)` is a surjective(onto) function.

Please refer to video to see the graph of this function.