Image of an interval

Image of an interval under a continuous function In this video, I show a quite surprising result about continuous functions, namely: the image of an interval under a continuous function is also an interval (or a single point). This explains why continuous functions don't break or tear things, they are indeed continuous Connectedness:    • Connectedness   Continuity Playlist:    • Limits and Continuity   Subscribe to my channel:    / drpeyam   Check out my TikTok channel:   / drpeyam   Follow me on Instagram:   / peyamstagram   Follow me on Twitter:   / drpeyam   Teespring merch: https://teespring.com/stores/dr-peyam