# How do you find the domain of F(x)=2x^3-x^2+3?

Aug 20, 2017

Domain: $\left(- \infty , + \infty\right)$

#### Explanation:

$F \left(x\right) = 2 {x}^{3} - {x}^{2} + 3$

$F \left(x\right)$ is defined $\forall x \in \mathbb{R}$

Hence, the domain of $F \left(x\right)$ is $\left(- \infty , + \infty\right)$

This may be inferred from the graph of $F \left(x\right)$ below.

graph{2x^3-x^2+3 [-6.36, 6.126, -1.445, 4.8]}