Increasing, decreasing, even and odd functions
Find the intervals where a graph rises or falls, reflect points in the y-axis and through the origin, and use f(-x) to test whether a function is even, odd or neither.
- سوريا: الصف ١٠
- فلسطين: الصف ١٠
- إيران: الصف ١٢
- أفغانستان: الصف ١٠
- أوكرانيا: الصف ٩
- روسيا: الصف ٩
- ألمانيا: الصف ١٠
- فرنسا: الصف ١٠
لم يُترجَم هذا المختبر إلى هذه اللغة بعد.
الدليل
As x grows from left to right, a graph that goes up shows an تابع متزايد and one that comes down a تابع متناقص. Give the interval in x, not y: for y = (x − ١)٢ the function is increasing on [١، +∞[.
A function is تابع زوجي if f(−x) = f(x): its graph is symmetric in the y-axis. It is تابع فردي if f(−x) = −f(x): its graph has half-turn symmetry about the origin.
To test, work out f(x) and f(−x) and compare. If they are neither equal nor opposite, the function is neither even nor odd.