Lesson 19- Exponential & Log Functions

For the  equation of y= Log ₂ (2x) -2 :
Step 1-3:  Create 3 tables -  base table, inverse table and full equation table (with transformations)
Step 4: Graph table 3
Step 5: Draxy     (D: domain  R: range   A: asymtotes  X:  x-intercepts  Y:  y-intercepts)
  
Note:  Base: Log₂x   Inverse: 2 ^X    

                                                                                                 

1)      Y= 2 ^X                                             

X	Y
-2	0.25
-1	0.5
0	1
1	2
2	4

      

              2)      Y= Log₂x                                        

X	Y
0.25	-2
0.5	-1
1	0
2	1
4	2

   

    

  3)  y= Log ₂ (2x) -2
 

X	Y
0.125	-4
0.25	-3
0.5	-2
1	-1
2	0

    ←  Transformations:

     X is compressed by 1/2
     Y moved down 2