1 Answer

Mayur Gajra · Answer 1 · 2023-10-08T16:16:10+0000

Given the exponential function:

Let's substitute x by -1, 0, and 1 to compare with the graphs.

First, substituting x by -1:

$\begin{gathered} f(-1)=5(3)^(-1)-1 \\ f(-1)=(5)/(3)-1 \\ f(-1)=(5-3)/(3)=(2)/(3) \end{gathered}$

Second, let's substitute x by 0:

$\begin{gathered} f(0)=5(3)^0-1 \\ f(0)=5*1-1 \\ f(0)=5-1 \\ f(0)=4 \end{gathered}$

Third, let's substitute x by 1:

$\begin{gathered} f(1)=5(3)-1 \\ f(1)=15-1 \\ f(1)=14 \end{gathered}$

So, the graph is:

Answer: A

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