Graphs of continuous functions under composition-1
This applet may be used to explore continuity under composition with square root function.
Compare graph of function f in window 1 with graph of the function in window 2 obtained by composing f with squre root in terms of continuity. Remember that square root function is a continuous function. Click on Next Example to generate a new example. Conjecture based on your exploration.
For more on continuity of a function check my online book
"Flipped Classroom Calculus of Single Variable"
https://versal.com/learn/vh45au/