#### Answer

$f(x)=2x+3$

#### Work Step by Step

A linear function has the form $f(x)=ax+b$, with $a=$slope and $b=$y-intercept.
We calculate the slope from $x=0$ to $x=1$ using the table:
$\frac{f(1)-f(0)}{1-0}=\frac{5-3}{1}=2$
We can find the $y$-intercept by looking at the $y$ value at $x=0$:
$f(0)=3$
Therefore, the equation is: $f(x)=2x+3$