Question

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

Answer 1

Answer:

Given Exponential Function is :

$f(x)=5\times3^x-1$

We have check which graph represent given Exponential Function,

let, $y=5\times3^x-1$

Put x = 0, we get

$y=5\times3^0-1$

y = 5 × 1 - 1 = 4

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

Now, Put y = 0, we get

$0=5\times3^x-1$

$3^x=\frac{1}{5}$

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

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

$x=\frac{log\,0.2}{log\,3}$

$x=\frac{log\,0.2}{log\,3}$

x = -1.465

Another passing through point is ( -1.465 , 0 )

So, Clearly No Given Option in attached is correct.

Correct Graph is attached.