Answer:
Given Exponential Function is :
[tex]f(x)=5\times3^x-1[/tex]
We have check which graph represent given Exponential Function,
let, [tex]y=5\times3^x-1[/tex]
Put x = 0, we get
[tex]y=5\times3^0-1[/tex]
y = 5 × 1 - 1 = 4
One of the passing through point = ( 0 , 4 )
Now, Put y = 0, we get
[tex]0=5\times3^x-1[/tex]
[tex]3^x=\frac{1}{5}[/tex]
[tex]log\,(3^x)=log\,(0.2)[/tex]
[tex]x\:log\,3=log\,0.2[/tex]
[tex]x=\frac{log\,0.2}{log\,3}[/tex]
[tex]x=\frac{log\,0.2}{log\,3}[/tex]
x = -1.465
Another passing through point is ( -1.465 , 0 )
So, Clearly No Given Option in attached is correct.
Correct Graph is attached.
