Question

What are the domain and range of `Y=3x^2` ?

Answer 1

Domain: `(-oo,+oo)` Range: `[0,+oo)`

Explanation:

`Y=3x^2`

`Y` is defined `forall x in RR ->` Domain of `Y` is `(-oo,+oo)`

`x^2 >=0 forall x in RR`

`:. Y >=0 forall x in RR`

Hence the Range of `Y` is `[0,+oo)`

We can conclude the domain and range for the graph of `Y` below.

graph{3x^2 [-10, 10, -5, 5]}