Answer
NOT a one-to-one function
Work Step by Step
Some of the ordered pairs of the given function, $
f(x)=-x^2+3
$, are $
\left\{(-2,-1)(-1,2),(0,3),(1,2),(2,-1),...\right\}
$. Note that the $y$-coordinates are NOT unique (i.e $-1$ is paired with both $-2$ and $2$). Hence, the given function is NOT a one-to-one function.