a. Work in pairs today. Choose one logo for each pair in your team to work on, dividing up the work. What are the equations of the four line segments that make up this logo?
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b. What are the domain and range of each of the line segments in the logo? Is the line increasing or decreasing in this interval on the x-axis?
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c. Trade equations with the other pair of students in your team. Sketch each of their equations on graph paper. How did each sketch compare with the original logos? Discuss any equation modifications needed with your team.
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Type equations to test your ideas. You can domain restrict your equations with curly braces. Example1: y = x {x>0} Example2: y = 3x {2 < x < 10}
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Lines: Slope Intercept Form
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Lines: Point Slope Form
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Lines: Two Point Form
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Parabolas: Standard Form
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Parabolas: Vertex Form
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Parabolas: Standard Form + Tangent
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Trigonometry: Period and Amplitude
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Trigonometry: Phase
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Trigonometry: Wave Interference
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Trigonometry: Unit Circle
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Conic Sections: Circle
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Conic Sections: Parabola and Focus
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Conic Sections: Ellipse with Foci
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Conic Sections: Hyperbola
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Polar: Rose
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Polar: Logarithmic Spiral
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Polar: Limacon
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Polar: Conic Sections
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Parametric: Introduction
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Parametric: Cycloid
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Transformations: Translating a Function
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Transformations: Scaling a Function
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Transformations: Inverse of a Function
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Statistics: Linear Regression
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Statistics: Anscombe's Quartet
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Statistics: 4th Order Polynomial
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Lists: Family of sin Curves
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Lists: Curve Stitching
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Lists: Plotting a List of Points
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Calculus: Derivatives
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Calculus: Secant Line
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Calculus: Tangent Line
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Calculus: Taylor Expansion of sin(x)
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Calculus: Integrals
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Calculus: Integral with adjustable bounds
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Calculus: Fundamental Theorem of Calculus
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