An image is basically an immutable template for creating a container. It's easier to understand the difference between an image and container by considering what happens to an image to turn it into a container.
The Docker engine takes the image and adds a read-write filesystem on top, then initialises various settings. These settings include network options (IP, port, etc.), name, ID, and any resource limits (CPU, memory). If the Docker engine has been asked to run the container it will also initialise a process inside it. A container can be stopped and restarted, in which case it will retain all settings and filesystem changes (but will lose anything in memory and all processes will be restarted). For this reason a stopped or exited container is not the same as an image.