Math 106  Lab   M. Flashman
Monday September 29th, 2003 11:00-11:50 DRAFT

• The Anim Menu: A, B, C, ...

• Slider...
• function choice
• the "slider" [used for tracing and finding values of f(x).]
• tangent
• Zeros...   .
• Extremes...

• Meetings...
• Combinations
• arithmetic
• composition: (f(g(x))    f <- g   f = top g=bottom
• What functions are needed to create y=  (3x+1)2  as a composition? Add these to your inventory and see that it works from graphing these functions directly and by the composition combination.

• Compare:
• graph of x2 with graph of (3x+1)2
• Find the slope of the tangents when x = 1 algebraically (using the chain rule). Verify this on the graph.
• graph of x2 with graph of 3(x+1)2
• Find the slope of the tangents when x = 1 algebraically using the chain rule. Verify this on the graph.
• graph of x2 with graph of 3x2 +1. [What does this have to do with composition? think of u =x2 ]
• Find the slope of the tangents when x = 1 algebraically using the chain rule. Verify this on the graph.