How to Enter Function Domains on a Graphing Calculator

Many times in mathematics, it is necessary to restrict a function's domain. This is especially important when dealing with trigonometric, absolute-value and radical functions. While doing this on a piece of paper simply requires writing the domain next to the function -- e.g., f(x) = |x|, (0, infinity], performing it on a TI-83 or TI-84 graphing calculator requires different steps. In particular, after you have submitted your equation, you must convert the domain to an inequality and then submit it.

Instructions

    • 1

      Write out the domain using inequality signs. For instance, given the domain (0, infinity] for a function Y(x), write x > 0. Given the domain (-5, 5), write 5 > x > -5.

    • 2

      Type your equation in the graphing calculator but do not submit it.

    • 3

      Add a division sign and the inequality (in quotes) after the equation. Given the equation Y(x) = |x| and the domain (-5, 5), your screen would look like this: Y1 = |x| / (5>x>-5). Likewise, given the equation Y(x) = |x| and the domain (0, infinity], your screen would look like this: Y1 = |x| / (x>0).

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