Question

See if it’s a decay of growth then graph using table of values

Answer 1

Given:

`f(x)=4(3)^x_{}`

Set x=-4 and substitute in the function, we get

`f(x)=4(3)^(-4)_{}`

`f(x)=(4)/(3^4)`
`f(x)=0.05`

Set x=-2 and substitute in the function, we get

`f(x)=4(3)^(-2)_{}`

`f(x)=(4)/(3^2)`

`f(x)=0.4`

Set x=0, and substitute in the function, we get

`f(x)=4(3)^0`

`f(x)=4`

Set x=2, and substitute in the function, we get

`f(x)=4(3)^2`

`f(x)=36`

Set x=4, and substitute in the function, we get

`f(x)=4(3)^4`

`f(x)=324`

The table for the given function is

Mark these points on the graph and join them by the curve.

The graph of the given function is