SOLUTION: Find an exponential function of the form f(x) = bax or f(x) = bax + c that has the given graph.(i pasted the link but not sure if it will work). I am given the point (0,6) and (1

Algebra ->  Equations -> SOLUTION: Find an exponential function of the form f(x) = bax or f(x) = bax + c that has the given graph.(i pasted the link but not sure if it will work). I am given the point (0,6) and (1      Log On


   

Question 1156062: Find an exponential function of the form f(x) = bax or f(x) = bax + c that has the given graph.(i pasted the link but not sure if it will work).
I am given the point (0,6) and (1,15). https://www.webassign.net/waplots/f/2/a2cfa9b469f1aeb1737cfe3507672f.gif
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
A=Aob^x
15=Aob^1
6=Aob^0=Ao
therefore 15=6*b
b=2.5
A=6(2.5)^x
when x=-2 A=6/6.25=0.96

graph%28300%2C300%2C-5%2C5%2C-5%2C60%2C6%282.5%29%5Ex%29

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

given the point (0,6) => y-intercept

f%28x%29+=+ba%5Ex ......use given point
6+=+b%2Aa%5E0+
6+=+b%2A1
b=6 ........eq.1

so far equation is:

f%28x%29+=+6a%5Ex

and (1,15)

15+=+6a%5E1
6a=15+
a=15%2F6
a=5%2F2
and your equation is:
f%28x%29+=+6%285%2F2%29%5Ex