SOLUTION: determine the exponential equation, f(x)=a*b^x, for each of the following graphs http://prntscr.com/r8260d

Algebra ->  Trigonometry-basics -> SOLUTION: determine the exponential equation, f(x)=a*b^x, for each of the following graphs http://prntscr.com/r8260d      Log On


   

Question 1153045: determine the exponential equation, f(x)=a*b^x, for each of the following graphs
http://prntscr.com/r8260d
Found 2 solutions by MathLover1, josgarithmetic:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

determine the exponential equation, f%28x%29=a%2Ab%5Ex, for each of the following graphs
4.
points on the graph: (0,3),(1,6),(2,12)
f%28x%29=a%2Ab%5Ex.........use one point
3=a%2Ab%5E0
3=a%2A1
a=3
use another point
6=3%2Ab%5E1
b=2
your equation is:
f%28x%29=3%2A2%5Ex

5.
points on the graph: (0,2),(1,6),(2,32)
2=a%2Ab%5E0
2=a%2A1
a=2
use another point
6=2%2Ab%5E1
b=3
your equation is:
f%28x%29=3%2A3%5Ex

6.
points on graph: (0,27),(1,9),(2,3)
f%28x%29=a%2Ab%5Ex.........use one point
27=a%2Ab%5E0
27=a%2A1
a=27
use another point
9=27%2Ab%5E1
b=9%2F27
b=1%2F3
your equation is:
f%28x%29=27%2A%281%2F3%29%5Ex


Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Just looking at #5, the points are (0,2), (1,8), and (2,32).

2=a%2Ab%5E0 using first point
a%2A1=2
a=2

Trying the second point
8=2%2Ab%5E1
8=2b
b=4

To CHECK with the third point
32=2%2A4%5E2
32=2%2A16=32

Now just fill the equation for variables "a" and "b", for this g(x) function (as the exercise function is labeled):
highlight%28g%28x%29=2%2A4%5Ex%29