A3F Equation from Table Rationals

              
LOG RECALIBRATION: Analyze this simple, known flight path. What is the 'Flight Plans'?

Look at the Table f(x), and the Graph g(x), and find the equation of each below. 

xf(x)
-2-4.000
-119999999998.000
00.000
1-1
2-1.333
3-1.500
4-1.600


What is the equation for the TABLE f(x)? 


  

  





What is the equation for the GRAPH  g(x).


 


   

DATA CORRUPTION DETECTED. A raw 'Energy Signature' (Quotient Form) is garbled. Decrypt it into a clean 'Flight Plan' (Transformation Form).


Write the following in Transformation Form:
                        
    _____________       + 
                        x + 

 

Run a full diagnostic on this signal. Identify all four key features (V, H, X, Y).
Use the tricks you found to write the following IN DECIMALS.
x-Intercept:  ()
y-intercept: ()

Use the tricks you found in the matching to find the following asymptotes.
Horizontal Asmptote:  =
Vertical Asymptote:    =

Graph the above function. 
 

              
Look at the Table f(x), and the Graph g(x), and find the equation of each below. 

xf(x)
-21.000
-110000000002.000
03.000
12
22.333
32.250
42.200

Vance's log is fragmented. This table shows her ship's coordinates. At what X-coordinate did she encounter the 'Gravity Well' (Vertical Asymptote)?
Gravity Well is at  =   

Analyzing the same log fragment... what was her 'Escape Trajectory' (Horizontal Asymptote)?
 Escape Trajectory is   =  


We've decrypted her h and k and the Location of the planet she was doing the Gravity Slingshot on. Now, use this data point to find the 'Slingshot Power' (a) of her engine.
Dilation or Slingshot Power =  



What is the equation for this path f(x)? 


  

  





What is the equation for the GRAPH  g(x).