Question

Which is the graph of f(x)=3/2(1/3)^x

Answer 1

THE ANSWER IS B...... I JUST TOOK THE TEST

Answer 2

Graph B

Explanation:

Given is a function as

`f(x) = (3)/(2) ((1)/(3) )^x`

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