[b]Investigation - graphs of [math]y=ax^n[/math][/b][br][br]Using the slider, set [math]a = 1[/math]. [br]Investigate what happens for different values of [math]n[/math]. In particular, take note of what is special about the function when [math]n [/math](the power) is negative. [br][br]Questions:[br]How can you re-write [math]a[/math]^(-b)?[br]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)[br]Find the similarities between the functions where [math]|n|[/math] is the same but they have different signs. (e.g. compare [math]x[/math]^(-2) and [math]x^2[/math]).[br]How does increasing and decreasing [math]a[/math] affect the functions?