Are there terminologies for "one-to-one" but not "onto" functions, and "onto" but not "one-to-one" functions?

One-to-one (injective) functions are not necessarily not onto (not surjective).
Similarly, onto functions are not necessarily not one-to-one.
So, a function can be one-to-one and onto (bijective).

$f(x)=e^x$ is one-to-one but not onto $\big($it will be onto for $f:\mathbb{R}\rightarrow(0,\infty)$ not $f:\mathbb{R}\rightarrow\mathbb{R}$$\big)$

$f(x)=x^2$ is onto but not one-to-one for $f:\mathbb{R}\rightarrow[0,\infty)$.

So is there a short common terminology for "one-to-one but not onto", or "onto but not one-to-one" ?

Thanks!