Put in a function of one variable f(x) that can depend on up to three parameters a, b and c. [br]You can use the sliders to set the values of these parameters.[br][br]Why is [br] the square of the square root of f(x) [br]not always [i.e. only sometimes] equal to [br] the square root of the square of f(x) ?[br][br]Why is [br] the natural logarithm of e^[f(x)][br]not always [i.e. only sometimes] equal to [br] e^[ln(f(x)] ?[br][br]Can you think of other mathematical 'Round trips'?[br][color=#ff0000][i][b][br]What questions could / would you ask your students based on this applet ?[/b][/i][/color]