Need Help. Will give brainiest for correct answer with reason/work.

a. Graph the rational function[tex]y= \frac{x^{3} }{x^{2} -9}[/tex]

On the same axes graph the functions y=x^2 and y=1/x. What do you notice about the relationship between these graphs and the graph of the function you drew in part (a)?


Answer :

Answer: y=1/x is the blue line and it goes straight up and down the y and x axis.

y=x^2 is the green line which is a thin "u" like shape. its going up the y axis.

y=\frac{x^{3}}{x^{2}-9} is the red line it goes up and down the y axis and diagonally across the middle of both axis'.

Step-by-step explanation: I went to desmos calculator and typed in your equation and it automatically gave me this graph. (See Picture for more details.)

View image ARODRI193203