Find the horizontal asymptote, if any, of the graph of the rational function.     g ( x ) = 20 x 3 4 x 3 + x 2 – 1

Find the domain of the rational function. Show your work.   f ( x ) = x + 2 x 2 + x – 6   

Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the graph of the rational function. Show your work.   f ( x ) = x – 6 x 2 – 2 x – 24  

Solve the log equation. Be sure to reject any value of x that is not in the domain. Show your work.    ln ( x – 4 ) + ln ( x + 1 )   =   ln ( 3 x – 9 )

Find an extra point for the graph of  f ( x ) = x + 2 x 2 + x – 6 .  What would the y-coordinate be for the x-coordinate 3?  Round to the nearest tenth.

Find the x-intercept of the graph of the rational function. Show your work.      f ( x ) = 2 x – 1 x – 1  

“Resistance to change in motion”:

Paired forces are:

The Newton’s 1st laws states that:

Part practice results in better skill learning outcome when learning: