# What is the domain and range of y = x^3?

Jul 1, 2016

Domain: All real numbers or $\left(- \infty , \infty\right)$
Range: All real numbers or $\left(- \infty , \infty\right)$

#### Explanation:

The domain of any graph includes all the x-values that are solutions.
The range accounts for all y-values that are solutions.

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

According to this graph of the equation, we see that the x-values continuously increase while y-values do the same. This means the domain solutions are all numbers, or from negative infinity to positive infinity, as are the range solutions.

We can express this in interval notation as:

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