Math 106  Lab   M. Flashman

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• Starting- Download and unzip:    http://math.exeter.edu/rparris/winplot.html
• On-line help: Al Lehnen has prepared a detailed guide to Winplot
• Initial examples:
• Equa Menu
• Plot a function :explicit... y = f (x)...
• f(x) = 2x-4
• f(x) = x^2 - 4
• f(x) = x^3 - 2

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• Plot a point : Point...
• (1,3)
• (a,b), (a, a^2), (a, f(a))
• Plot a line:

aX + bY = c  ;
For a vertical line a=1, b=0, c=?

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• library: for reference.
• The Inventory : Inventory... Ctrl  I
• Table: Params

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• One Function Menu
• Slider...
• function choice
• the "slider" [used for tracing and finding values of f(x).]
• mark point- added to inventory!
• secant demo: select base point, slope
  

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• Graph of your SS (xxx-23-4xxx) quadratic functions:

f(x)= 2x² - 3x -4;     g(x)= -2x² - 3x +4
• Find intercepts, axis of symmetry, vertex point coordinates.
• (i)Find f(0) and Solve 2x² - 3x -4= 0;
• (ii) Axis is  X=-(-3)/(2*2) = 3/4;
• (iii) Vertex coordinates: (3/4, f(3/4)).
  
• Estimate f'(2) from the graph.
• Use Slider and secant.
• Use table.
• Use graph of difference quotient Q(x) = [f(2+x)-f(2)]/x and use x close to 0.
  
• Estimate f'(2) algebraically using the four step method.
  

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