Question

Graph the following equation y=3(0.5)^X

Answer 1

veiw the screenshot

Explanation:

Answer 2

The required graph is shown below:

Explanation:

Consider the provided equation.

`y=3(0.5)^x`

The graph of the function is a exponential graph.

Substitute x=-2 in
`y=3(0.5)^x`

`y=3(0.5)^(-2)`

`y=(3)/(0.25)`

`y=12`

Substitute x=-1 in
`y=3(0.5)^x`

`y=3(0.5)^(-1)`

`y=(3)/(0.5)`

`y=6`

Substitute x=0 in
`y=3(0.5)^x`

`y=3(0.5)^0`

`y=3`

Substitute x=1 in
`y=3(0.5)^x`

`y=3(0.5)^1`

`y=1.5`

Substitute x=2 in
`y=3(0.5)^x`

`y=3(0.5)^2`

`y=0.75`

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: