It depends on what check I'm making.
If I just want to make a quick check, that's cURL.
If I'm making the same check repeatedly, I may use Postman or something similar so that I can easily save the request test.
If I want to make sure the API endpoint is working correctly and returning responses in the expected format, I'd run Dredd tests.
I love this question because it gives me an idea for a feature in an app I'm currently building to test APIs (
https://www.microapis.io) - be able to run it against your local server and run tests against it.