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Graphs of Sine and Cosine 1.2 An applet illustrating how the graphs of sine and cosine are related to the unit circle. Transformations of Functions 1.3 An applet illustrating how transformations ...
Graphing calculators have more advanced capabilities for higher-level math than scientific calculators, with larger, more dynamic screens for graphing functions and plotting coordinates.
In the late 19th century, Karl Weierstrass invented a fractal-like function that was decried as nothing less than a “deplorable evil.” In time, it would transform the foundations of mathematics.
Transformations of Functions This applet will help you in visualizing the effects of transformations on functions. Move the sliders on the right to change the translation and scaling factors.
At first, when you try to plot the graph of Weierstrass’ function, it looks smooth in certain regions. Only by zooming in will you see that those regions are jagged, too, and that they’ll continue to ...
All quadratic functions have the same type of curved graphs with a line of symmetry. The graph of the quadratic function \(y = ax^2 + bx + c \) has a minimum turning point when \(a \textgreater 0 ...
For example, by using the graphing and zoom features of the graphing calculator, students could compare and contrast the local and global behavior of functions such as y = x ² and y = x ² + 2.
When it comes to the best graphing calculators for high school and college students, you can't beat the TI-84 series calculators. The latest model, the TI-84 Plus CE, has all the functionality you ...
Armen Edigarian, Jan Wiegerinck, The Pluripolar Hull of the Graph of A Holomorphic Function with Polar Singularities, Indiana University Mathematics Journal, Vol. 52, No. 6 (2003), pp. 1663-1680 ...
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