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

Apr 27, 2018

$D : \text{ } \left(- \infty , + \infty\right)$

$R : \text{ } \left(- \infty , + \infty\right)$

#### Explanation:

Domain simply asks, "Where does the function exist on the x-axis?" So, in this function, because $x$ is cubed, it can stretch from negative infinity to positive infinity.

Similarly, range asks, "Where does the function exist on the y-axis?" When you plug the function into a graph, it becomes evident that it will forever go upward toward infinity and forever downwards toward negative infinity on both axes.

This image shows the basic graph of $f \left(x\right) = {x}^{3}$.