lambda container image serverless - aws-lambda

Question

I have a working lambda deployment using serverless. I am trying to put the lambda functions inside a docker image. Originally I had a handler.js that contains 2 module.exports and in my original serverless.yml I specified:
functions:
func1:
handler: handler.func1
events:
...
func2:
handler: handler.func2
events:
...
The new serverless.yml is as follows:
functions:
func1:
image: <account>.dkr.ecr.<region>.amazonaws.com/<repository>#<digest>
events:
...
func2:
image: <account>.dkr.ecr.<region>.amazonaws.com/<repository>#<digest>
events:
...
My question is, what do I put into the CMD in the Dockerfile so I can access both func1 and func2?
Currently I have:
FROM public.ecr.aws/lambda/nodejs:14
ARG FUNCTION_DIR="/var/task"
# Create function directory
RUN mkdir -p ${FUNCTION_DIR}
# Copy handler function and package.json
COPY handler.js ${FUNCTION_DIR}
COPY package.json ${FUNCTION_DIR}
# Install NPM dependencies for function
RUN npm install
# Set the CMD to your handler
CMD [ "handler" ]

Answer 1

Since you're using the AWS base image for Node.js, you have to define your handler like you did in serverless.yml. Like this:
CMD [ "handler.func1" ]
There's a very similar example to your code in the AWS documentation which explains how you should set the CMD arguments.
The CMD arguments are provided to the ENTRYPOINT. From the AWS Docs:
CMD – Specifies parameters that you want to pass in with ENTRYPOINT.