Explore the graph of the function

for values of **x** between **-2** and **2** to view geometrically
that the graph of this function is symmetric with respect to the origin.

In the following LiveMath Notebook, you can view the graph of

Note that as you change the value of **a**, the points **(a, f(a))** and **(-a, f(-a))** still appear to be symmetric with respect to the
origin.

You can change the function in the notebook above. Try

- x
^{3}- 9x

[You will need to zoom out to see the entire line segment. To zoom out, click on the 'rocket ship' on the upper left-hand corner of the graph.] - x
^{5}- 9x - x
^{3}- 9x^{2} - x
^{5}- 9x^{3}