Answer:
The required graph is shown below:
Step-by-step explanation:
Consider the provided equation.
[tex]y=3(0.5)^x[/tex]
The graph of the function is a exponential graph.
Substitute x=-2 in [tex]y=3(0.5)^x[/tex]
[tex]y=3(0.5)^{-2}[/tex]
[tex]y=\frac{3}{0.25}[/tex]
[tex]y=12[/tex]
Substitute x=-1 in [tex]y=3(0.5)^x[/tex]
[tex]y=3(0.5)^{-1}[/tex]
[tex]y=\frac{3}{0.5}[/tex]
[tex]y=6[/tex]
Substitute x=0 in [tex]y=3(0.5)^x[/tex]
[tex]y=3(0.5)^0[/tex]
[tex]y=3[/tex]
Substitute x=1 in [tex]y=3(0.5)^x[/tex]
[tex]y=3(0.5)^1[/tex]
[tex]y=1.5[/tex]
Substitute x=2 in [tex]y=3(0.5)^x[/tex]
[tex]y=3(0.5)^2[/tex]
[tex]y=0.75[/tex]
Now draw the table as shown.
x -2 -1 0 1 2
y 12 6 3 1.5 0.75
With the help of the table draw the graph.
The required graph is shown below:
