Answer
$f(x)=5$
Work Step by Step
We can rewrite $f(-3)=5$ as $(-3,5)$ and $f(-1)=5$ as $(-1,5)$.
The slope of the line that passes through $(-3,5)$ and $(-1,5)$ is
$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{5-5}{-1-(-3)}=0$
Equation of the line is
$y-y_{1}=m(x-x_{1})$
$\implies y-5=0(x-(-3))$
$\implies y=5$
A function is $f(x)=5$.
