Answer:
Graph B
Step-by-step explanation:
Given is a function as
[tex]f(x) = \frac{3}{2} (\frac{1}{3} )^x[/tex]
There are 4 graphs given.
Out of the 4 options we have to select one which suits this graph
Let us study about f graph
X intercept is at infinity.
Or y=0 is asymptote for this curve
y intercept is when x =0
i.e. y intercept =3/2 (1) = 3/2
Only A and B satisfy this value of y intercept
Out of A and B we have to select one option
When x=1, we get
f(1) = 3/2 (1/3) = 1.5
This is satisfied only by Graph B.
Hence answer is graph B.
When x tends to -infinity y
