Answer: The correct option is 4.
Explanation:
The given function is,
[tex]f(x)=\frac{3}{2}(2)^x[/tex]
It is an exponential function and 2>1, therefore it is an increasing in nature.
put x=0 in the given function to find the y-intercept of the graph.
[tex]f(0)=\frac{3}{2}(2)^(0)[/tex]
[tex]f(0)=\frac{3}{2}(1)[/tex]
[tex]f(0)=\frac{3}{2}[/tex]
[tex]f(0)=1.5[/tex]
So, the y-intercept is 1.5.
In figure 1 and figure 1 the y-intercept is 1, in figure 2 the y-intercept is 2 , therefore first three options are incorrect.
In figure 4 the y-intercept is 1.5, therefore the option 4 is correct.
