We are taught in school that a curved mirror/lens will form an image at the focal point. However, there are an infinite number of points which are not the focal point which also produce some image. They just don't produce the expected image! So the question is: if you move your detector (eyeball, film, CCD, etc.) around the field near the focal point, can you find a spot where no light rays appear? Can you find a "black hole" where you look at the spoon, but there is no spoon? Of course you cannot.
If we consider a typical bathroom/bedroom mirror, we can ask: where is the focal point? And the answer is: everywhere. That's because it reflects the rays with 0 curvature, so there is no "focusing" effect. No matter where you stand in front of a flat mirror, you will see a "clear" image. Hopefully, this is not surprising or controversial.
Now consider the convex mirrors placed in corners to enable pedestrians or drivers to see around a corner. Again, we can ask: "Where is the focal point?" And again, the answer is: "everywhere in front of the mirror". The main difference between a flat and a convex mirror is that a flat mirror will show you a field which is the same size as your visual field without the mirror present (your viewing frustum is the same size, but oriented backwards in space), but the convex mirror will show you a wider field (the viewing frustum is larger, because the mirror collects rays that you would not otherwise see and sends them to your eyeballs). Now, this is strange! How can we see more than we can see? If a flat mirror lets us see our full field of view, then how can a convex mirror show us more than the full field of view? And it does so by distorting the image. It squeezes the portion you would normally see in order to make room for the additional image. Even so, moving about in front of the mirror will not reveal a "black hole" where no reflected rays are sent. An image is formed at every point in front of the mirror (though it's a different image for every point).
Finally, we arrive at the concave mirror. It might seem like it's very different from the convex or flat mirror, but it is not. In fact, it works very much like a convex mirror. Note that parallel rays hitting a flat mirror produce parallel rays upon reflection, which is why the image formed by a flat mirror is not distorted (except for the 3D inside-out inversion, but that's a different topic). Convex mirrors reflect parallel rays into diverging rays, causing distortion. And obviously, concave mirrors reflect parallel rays into converging rays, producing our desired focal point.
So what do we see if we are not at the focal point? Well, that depends on where we are! If we are "in front of" the focal point (meaning, between the focal point and the mirror), the rays are still converging, and so we will see the same image orientation as a flat mirror, but enlarged, because we are collecting light rays from a broader field. However, this enlarged image will only be a subset of the field that the full spoon can reflect.
On the other hand, if you are "behind" the focal point, then the rays will converge onto the focal point, and then continue on their merry way, diverging from each other. In this region, the concave mirror acts somewhat like a convex mirror, with an additional directional reversal! That's why moving the spoon further away from you allows you to see a broader field of view, just like a convex mirror would. In particular, the rays which converge on the focal point don't stop there just because that's where we normally put a camera sensor. They keep on going, spreading out and forming a shrinking image (because of their divergence) which just keeps getting smaller the further you go from the spoon. But the fact that they all converged on the focal point means they will all cross at that point and invert the image beyond.