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Question 1180810: The equation f(x) = ac^x+d can be used to represent the following function. Determine the values of a, c, and d algebraically. Show all your work.
Please view graph here;
https://docs.google.com/document/d/1Cl3HrcoR6jibNzxfDTIilS3imSplLY8nQUU0OpU9vLA/edit?usp=sharing
Found 2 solutions by greenestamps, MathLover1:
Answer by greenestamps(13195)   (Show Source):
You can put this solution on YOUR website!
f(x)=ac^x+d
We need to determine the values of three unknowns, so we need three equations. We can get them using three carefully chosen points on the graph.
(1) (-infinity, 4)
As x goes to negative infinity, ac^x goes to 0.
ac^x+d = 0+d = d = 4
(2) (0,1)
ac^x+d = ac^0+d = a(1)+d = a+4 = 1
a = -3
(3) (1,-2)
ac^x+d = ac+d = -2
-3c+4 = -2
-3c = -6
c = 2
ANSWER: 
A graph....
Answer by MathLover1(20849)  (Show Source):
You can put this solution on YOUR website!
use these points on a graph:
( , )
( , )
(, )
set the system to determine the values of  ,  , and 
(,)
 ........solve for
 ....eq.1
(,)
 ......solve for
 ....eq.2
(,)
 ......solve for
 ....eq.3
from eq.1 and eq.2 we have
 .........solve for
 ...................1)
from eq.1 and eq.3 we have
 ............solve for
 .........................2)
from 1) and 2) we have
 .........solve for 
 .......round
go to
....eq.1, substitute
go to
.........................2), substitute
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