Investigation - graphs of the form y = ax^n
Investigation - graphs of Using the slider, set . Investigate what happens for different values of . In particular, take note of what is special about the function when (the power) is negative. Questions: How can you re-write ^(-b)? Why does a strange phenomenon occur when n is negative? Does the phenomenon remind you of anything we've already covered (Hint: it should! :D) Find the similarities between the functions where is the same but they have different signs. (e.g. compare ^(-2) and ). How does increasing and decreasing affect the functions?