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

Question

asked Sep 22, 2020 105k views

1 Answer

DixieFlatline · Answer 1 · 2020-09-27T01:09:22+0000

Answer:

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 = -1.465

Another passing through point is ( -1.465 , 0 )

So, Clearly No Given Option in attached is correct.

Correct Graph is attached.