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Quick Guide to Graphing and Calculating Functions

Learn how to set your calculator mode, enter functions, adjust windows, deal with piecewise functions, find roots, and intersections efficiently. Improve your math skills with practical examples.

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Quick Guide to Graphing and Calculating Functions

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  1. Graphing Calculator

  2. Mode Setting • FUNC • RAD • NORMAL • FLOAT • REAL

  3. Entering Functions into Y = • If a function is defined everywhere, “experiment” with a window until the best view is seen • Example: y = x3 – 49x

  4. If a function is not defined everywhere • Can calculate an appropriate window • Example: y = √( 8 – 2x2)

  5. Piecewise Functions -1 x < -1 f(x) = x -1 ≤ x ≤ 1 1 1 ≤ x f(x) = 1 – x2 x ≤ 0 x2 -1 0 < x

  6. Finding Roots • Graph and then use 2nd Calc to find zeros • Example: Find roots of y = x2 - 3

  7. Finding Intersections • Graph then use 2nd Calc, Intersect Example: Find intersection of the following two line f(x) = x2 f(x) = 2x + 3

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