As I understand, you would like to store cloud functions code in GitHub, and I assume you would like to trigger deployment on some action - push or pull request. At the same time, you would like only modified cloud functions be redeployed, leaving others without redeployment.
Every cloud function is your set is (re)deployed separately, - I mean the for each of them you might need to provide plenty of specific parameters, and those parameters are different for different functions. Details of those parameters are described in the gcloud functions deploy command documentation page.
Most likely the --entry-point
- the name of the cloud function as defined in source code - is to be different for each of them. Thus, you might have some kind of a "loop" through all cloud functions for deployment with different parameters (including the name, entry point, etc.).
Such "loop" (or "set") may be implemented by using Cloud Build or Terraform or both of them together or some other tool.
An example how to deploy only modified cloud functions is provided in the How can I deploy google cloud functions in CI/CD without redeploying unchanged SO question/answer. That example can be extended into an arbitrary number of cloud functions. If you don't want to use Terraform, the similar mechanism (based not he same idea) can be implemented by using pure Cloud Build.