The graph that represents [tex]f(x) = 3(2)^x[/tex] is graph (d)
The function is given as:
[tex]f(x) = \frac 32(2)^x[/tex]
The given function is an exponential function.
An exponential function is represented as:
[tex]f(x) = ab^x[/tex]
Where a and b represent the initial value and the rate, respectively.
So, by comparison:
[tex]a = \frac32[/tex]
[tex]b =2[/tex]
This means that, the graph of [tex]f(x) = \frac 32(2)^x[/tex] has an initial value of 3/2, and rate of 2
Hence, the graph that represents [tex]f(x) = 3(2)^x[/tex] is (d)
Read more about the graphs of exponential functions at:
https://brainly.com/question/13917934
