I want to have the user respond with a longish response, like talk about their education and family background. In this, I would like to identify multiple intents and then go back to the user with multiple questions (one by one) as a follow-on to the intents detected. Can I do this in DialogFlow CX and how?
Note that your desired use case is currently not feasible in Dialogflow CX. By default, Dialogflow matches a user query to only one intent route. Intents are matched based on the confidence value in the detectIntent Response’s queryResult.match field.
Moreover, the maximum detect intent text input length is 256 characters. If you are using an integration, the integration platform may have a smaller limit. However, you can use the sys.long-utterance built-in event to handle user queries that exceed the 256-character limit. Note that the long user query will still only get matched to only one intent route.
If you want to ask the user multiple questions, you can design your agent to have a conversation flow that asks the user one question at a time. You can utilize State Handlers to control the conversation flow. You may refer to the Voice agent design documentation for best practices for designing your agent.