I believe what you're seeing is the result of LibreLink's extrapolation algorithm,
and it is one of my biggest irritations with the software.
The sensor reads the glucose levels from the interstitial fluid under the surface of your skin, and changes in this lag behind the actual glucose value in your blood by around 15 minutes. So the value it senses is roughly what your blood glucose was 15 minutes ago. I expect the actual lag time varies quite a bit depending on hydration, movement, temperature etc.
However, this value is not what the reader shows you. Instead it attempts to tell you what your blood glucose is now by just making it up. To do this it uses the current and previous values to calculate the trend, and extrapolates that forward for the part it does not yet have real data for.
There are many different mathematical techniques for extrapolation, the simplest being linear (so if the current known value is 5.0 and it's changing by +1 every 5 minutes, it guesses that in 15 minutes it will be at 8.0). It could also be using something higher order, where it fits a curve to previous values instead of just a line, they don't share the algorithms they use.
What I hate about this is that it doesn't give you any way of seeing which part of the value is really from the sensor, and how much it has adjusted by extrapolating. When it's changing rapidly and you've just taken action to correct it, the guessed value can be quite wrong, because the software doesn't know that e.g. you've just eaten some glucose to correct a dropping low, so it keeps showing it as dropping for another 15 minutes, and if you took that at face value you'd overcorrect.
What would be more useful (and indeed what some of the other non-official apps do) would be if it showed the graph with the sensed values, and the extrapolated part as a dotted or differently coloured curve. Then you could make up your own mind, taking into account the information your sensor doesn't know about.
The whole way the software is written seems to treat the user as if they're a bit stupid and couldn't handle more information - See also the way it just stops giving readings at all when it is uncertain because they're changing rapidly, instead of giving the reading along with a warning.