Question

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

Function a


Function b


Function c


Function d

Answer 1

The answer Function B

Answer 2

Option B.

Explanation:

Consider the below figure attached with this question.

The given function is

`y=3((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=(1)/(2)`

a=3, it means y-intercept of the function is 3.

`b=(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.