Answer
NOT a one-to-one-function
Work Step by Step
Some of the ordered pairs of the given function, $
f(x)=4x^2-1
$, are $
\left\{(-2,15)(-1,3),(0,-1),(1,3),(2,15),...\right\}
$. Note that the $y$-coordinates are NOT unique (i.e $15$ is paired with both $-2$ and $2$). Hence, the given function is NOT a one-to-one function.