Question

finding domain and range of polynomial functions
use the graph to find the domain and range of this polynomial function.
domain:
range:

Explanation:

Step1: Analyze domain from graph

The graph of $y=x^3$ extends infinitely left and right along the x-axis, so all real numbers are valid inputs.
Domain: All real numbers, or $(-\infty, \infty)$

Step2: Analyze range from graph

The graph of $y=x^3$ extends infinitely up and down along the y-axis, so all real numbers are valid outputs.
Range: All real numbers, or $(-\infty, \infty)$

Answer:

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