Use the [color=#0000ff]blue slider to change the power of ([i]x[/i] + 2)[/color], [color=#ff0000]the red slider to change the power of ([i]x[/i] - 1)[/color], and [color=#00ff00]the green slider to change the power of ([i]x[/i] - 3). [/color]Once you are done exploring the applet, answer the 3 questions below the applet.
Describe how the graph behaves at a zero (x-intercept) when the multiplicity of that zero is an even number. Does it cross the x-axis or bounce off the x-axis? Explain how you know.
Describe how the graph behaves at a zero when the multiplicity of that zero is an odd number. Does it cross the x-axis or bounce off the x-axis? Explain how you know.
Describe how the graph behaves at a zero when the multiplicity of that zero increases. If the multiplicity of a zero was extremely large, what do you think the graph would look like at that zero? Explain how you know.