We have the function:
A turning point happens when the function reaches a maximum or a minimum.
In that points the value of the first derivative of the function is equal to 0.
So we can find the turning points by finding the first derivative and equal to zero:
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.)
