# Example 2

- Author:
- Walch Education

- Topic:
- Cube, Equations, Function Graph, Root

Compare the domain, range, graph, and critical values on the graph of to the graph of . How are these differences reflected in the algebraic equations?

- Determine the domain and range of
. - Find at least three points on the graph of
, including any critical points. - Plot the points and graph
. - Determine the domain of
. - Determine the range of
. - Find at least three points on the function
, including critical points. - Plot the points and graph
on the same coordinate plane as the graph of . - Compare the domains and ranges of the functions
and . Note how the equation is related to any differences between the domains and ranges. - Compare the critical points of
and , and note how the equation is related to the differences between these points. - Compare the general shapes of
and , and note how the equation is related to the differences.