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Lesson #23 Graphing the Greatest Integer Function

Lesson #23 Graphing the Greatest Integer Function. Recall that a GIF is a function where the output (y-value) jumps to distinct levels. The easiest way to graph a GIF is by using a table of values. Graph f(x)=[x]. Counter Step Height. Step Length.

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Lesson #23 Graphing the Greatest Integer Function

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  1. Lesson #23 Graphing the Greatest Integer Function

  2. Recall that a GIF is a function where the output (y-value) jumps to distinct levels. The easiest way to graph a GIF is by using a table of values. Graph f(x)=[x] Counter Step Height Step Length

  3. The function f(x) = [x] can be transformed. g(x) = a[b(x-h)]+k a : is the counter step height (“vertical stretch”) b : the step length of units h : horizontal shift by h units to the right k : vertical shift up k units a > 0 b > 0 a > 0 b < 0 a < 0 b > 0 a < 0 b < 0

  4. Eg 2. Evaluate f(4) = [4.4] f(-6) = [-6] f(-5.4) = [-5.4] f(-7.1) = [-7.1] = 4 = -6 = -8 = -6 2 -2 1 -1 -3 0 3 Imagine a number line. The GIF always shift the value left, to the nearest integer.

  5. Homework Handout

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