Answer:
The correct graph is graph C
Step-by-step explanation:
Given that a sequence defined by the function f(x + 1) =[tex]\frac{2}{3}[/tex] f(x)
Also given that initial value is 108
i.e. f(0) = 108
Applying the recurrence formula given we get
f(0+1) = 2/3 f(0) = 2/3 (108) = 72
Hence (1,72) should be next point
Now we have
f(2) = f(1+1) = 2/3 f(1) = 2/3 (72) =48
(2,48) is next point
f(3) = f(2+1) = 2/3 f(2) = 2/3 (48) = 32
(3,32) is the next point
The graph covering all these points is the graph C
Hence answer is graph C
