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.