how to determine a function is strongly convex or not

is there any intuitive understanding about whether a function is strongly convex or not? In exam 2020 Q2 and Q4, I chose the wrong answer both due to including the strongly convex. Can you explain why they are not? Thank you.

Hi, there was a similar discussion on this other thread yesterday https://www.oknoname.com/EPFL/CS-439/topic/1996/some-questions-on-2020-exam/#c3

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