Answer:
Option C. is the correct option.
Step-by-step explanation:
To draw the graph on a piece of paper we will plug in the values of x in the function.
[tex]f(x)=3.(0.5)^{x}[/tex]
f(0) = 3
f(1) = 1.5
f(2) = 0.75
f(3) = 0.375
f(4) = 0.18
These points are (0, 3), (1, 1.5), (2, 0.75), (3, 0.375) and (4, 0.18).
Now we plot these points on the graph for the given function.
The graph will be an exponential graph having Y-intercept at y = 3.
This graph is similar to the graph C as given in the options.
