9514 1404 393
Answer:
f(x) = 2(3^x) -5
Step-by-step explanation:
The function is apparently exponential, with a vertical offset. The form of it will be ...
f(x) = a(b^x) +c
For large negative x, the value of f(x) approaches c, which appears to be -5 on the graph. For x=0, the value of f(x) is a+c, so we have ...
a -5 = -3
a = 2 . . . . . . add 5
For x=1, it appears that f(1) = 1. This tells us ...
f(x) = 2(b) -5 = 1
2b = 6 . . . . . . . . . . add 5
b = 3 . . . . . . . . divide by 2
Then the function equation is ...
f(x) = 2(3^x) -5
