Answer:
Option B.
Step-by-step explanation:
Consider the below figure attached with this question.
The given function is
\(y=3(\frac{1}{2})^x\) .... (1)
We need to find the graph of given function.
The general form of an exponential function is
\(y=ab^x\) .... (2)
where, a is initial value and b is growth or decay factor.
If 0<b<1, then it is a decreasing function.
If b>1, then it is an increasing function.
On comparing (1) and (2) we get
\(a=3, b=\frac{1}{2}\)
a=3, it means y-intercept of the function is 3.
\(b=\frac{1}{2}\), it means it is a decreasing function.
The table of values is
x y
-2 12
-1 6
0 3
1 1.5
2 0.75
Plot these ordered pairs on a coordinate plane and connect then by a hand curve. Graph B represents the given function.
Therefore, the correct option is B.
