Question

Decide whether the table represents a linear or exponential function circle with a linear exponential then write the function formula.​

Answer 1

This function starts at $(0,3)$, so we have $f(0)=3$.

Then, every time $x$ increments by 1, $y$ doubles. This is typical of exponential functions. In linear functions, every time $x$ increments by 1, $y$ increments by a fixed amount (the slope of the function).

So, this is an exponential function, and the equation is

$f(x)=3\cdot 2^x$