Some functions change at a [i][b]constant[/b][/i] rate as x gets larger.[br]Some functions change [i][b]faster and faster[/b][/i] as x gets larger.[br]Some functions change [i][b]slower and slower[/b][/i] as x gets larger.[br][br]Here are some possible categories of functions and their rates of change as x gets larger -[br] [br] - functions that[i][b] increase[/b][/i] and their rates of change [i][b]increase[/b][/i][br] - functions that [i][b]increase [/b][/i]and their rates of change [i][b]decrease[/b][/i][br] - functions that [i][b]decrease[/b][/i] and their rates of change [i][b]increase[/b][/i][br] - functions that [i][b]decrease [/b][/i]and their rates of change[i][b] decrease[/b][/i][br][br]Give an example of a function that fits in each category.[br][br]Are there functions that fit in [i][b]NONE[/b][/i] of these categories? Example, or why not?[br][br]Are there functions that fit in [i][b]MORE THAN ONE[/b][/i] of these categories? Example, or why not?[br][br]Does every possible function fit into at least one of these categories? Why, or why not?[br][br][color=#ff0000][i][b]What questions could / would you ask your students based on this applet?[/b][/i][/color]

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