What is the shape of the graph of the function?
g(x)= 3/2 (2/3) ^x

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

so

substituting x = 0 in the fuction

Apply rule:  

Therefore, the point representing the y-intercept is:

Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

so

substituting y = 0 in the function

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

We know that can not be zero or negative for x ∈ R

Thus, NONE represents the x-intercept.

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

"if it is my birthday, then it is snowing"

a and c

step-by-step explanation: