This is a simple challenge. Leave your thoughts in comments.
Puzzle 1: Find a continuous with its range contained in (0, 1).
Hint/Puzzle 2: Find the equation of the function below.
Clue 1: Piecewise functions may also be continuous.
Clue 2: Try manipulating
You can use Desmos or Geogebra to plot the graphs and see.
In Geogebra, to plot a piecewise function, use
Function( <expression in x>,<lower bound>,<upper bound>)
(For Teachers) Aim of the Activity: 1. Familiarising students with visualising concepts/using software like GeoGebra.
2. Training students to generate examples, given conditions.
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