Question

Which graph represents the exponential function below f(x)=5(3)^x-1

Answer 1

Given Exponential Function is :

`f(x)=5*3^x-1`

We have check which graph represent given Exponential Function,

let,
`y=5*3^x-1`

Put x = 0, we get

`y=5*3^0-1`

y = 5 × 1 - 1 = 4

One of the passing through point = ( 0 , 4 )

Now, Put y = 0, we get

`0=5*3^x-1`

`3^x=(1)/(5)`

`log\,(3^x)=log\,(0.2)`

`x\:log\,3=log\,0.2`

`x=(log\,0.2)/(log\,3)`

`x=(log\,0.2)/(log\,3)`

x = -1.465

Another passing through point is ( -1.465 , 0 )

So, Clearly No Given Option in attached is correct.

Correct Graph is attached.