Question

Which function represents the graph y=3(1/2)^x ?

Answer 1

The answer Function B

Answer 2

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.