# How do you find the domain and range of 2x + x^2 - x^3?

Jul 12, 2018

Domain: $\left(- \infty , \infty\right) \text{ or all Reals}$
Range: $\left(- \infty , \infty\right) \text{ or all Reals}$

#### Explanation:

Given: $2 x + {x}^{2} - {x}^{3}$

In descending order: $- {x}^{3} + {x}^{2} + 2 x$

This function has no limiting conditions such as a radical (square root) or a denominator that can't be $= 0$ or an exponential or logarithmic function.

That means that both the domain and range are $\text{ all Reals}$