Modulus and integer-part functions
See the modulus in a table and on a graph, solve a modulus equation as two crossings with a line, read the steps of the integer-part (floor) function and plot a taxi fare that rises in steps.
- فلسطين: الصف ١٠
- إيران: الصف ١١
- أفغانستان: الصف ١٠
- روسيا: الصف ٧
- فرنسا: الصف ١٠
- بريطانيا: السنة ١٢
لم يُترجَم هذا المختبر إلى هذه اللغة بعد.
الدليل
|x| is the distance from x to zero: always zero or positive. |x − ٢| is the distance from x to 2. The equation |x − ٢| = ٣ asks for the points 3 away from 2: two answers.
The graph of y = |x − ٢| is a V and never goes below the x-axis. The solutions of |x − ٢| = ٣ are where the graph meets the horizontal line y = 3.
The floor function [x] gives the largest whole number that is not more than x: [٢٫٧] = ٢ and f(−١٫٣) = −٢. Its graph is a staircase: each step is closed at its left end and open at its right end.