question\nfind the equation of the exponential function represented by the table below:\nanswer attempt 1…

Explanation:

Step1: Recall exponential - function form

The general form of an exponential function is $y = ab^{x}$, where $a$ is the initial - value and $b$ is the base.

Step2: Find the value of $a$

When $x = 0$, $y=ab^{0}=a$. From the table, when $x = 0$, $y = 1$, so $a = 1$.

Step3: Find the value of $b$

Substitute $a = 1$ and another point, say $(x = 1,y = 3)$ into $y=ab^{x}$. We get $y=b^{x}$ (since $a = 1$), and when $x = 1$ and $y = 3$, $3=b^{1}$, so $b = 3$.

Answer:

$y = 3^{x}$