Asosiy tarkibga o'tish

3.5-bo'lim : Grafikalash funktsiyalari

1. Quyidagi funksiya grafigida kamida 4 ta tartiblangan juft nuqtalardan iborat jadval tuzing va funksiya grafigini chizish uchun jadvaldagi tartiblangan juftlardan foydalaning.

\[f\left( x \right) = {x^2} - 2\]
Yechim

Ushbu funktsiya uchun nolning har ikki tomonidagi nuqtalarni tanlash ushbu funktsiya grafigi qanday ko'rinishi haqida tasavvurga ega bo'lish uchun etarli bo'lishi kerak. Grafikda qo'shimcha nuqta berishi uchun boshqa sababsiz nolni ham qo'shamiz.

Mana biz ushbu muammoni hal qilishda foydalanadigan fikrlar jadvali.

\(x\) \(f\left( x \right)\) \(\left( {x,y} \right)\)
-3 7 \(\left( { - 3,7} \right)\)
-1 -1 \(\left( { - 1, - 1} \right)\)
0 -2 \(\left( {0, - 2} \right)\)
1 -1 \(\left( {1, - 1} \right)\)
3 7 \(\left( {3,7} \right)\)
2-qadam

Bu funksiyaning eskizi.

The graph of \(f\left( x \right) = {x^2} - 2\).  It is a parabola that opens upward with its vertex at \(\left( {0, - 2} \right)\).  The points from the table are marked and labeled on the graph and they are \(\left( { - 3,7} \right)\), \(\left( { - 1, - 1} \right)\), \(\left( {0, - 2} \right)\), \(\left( {1, - 1} \right)\) and \(\left( {3,7} \right)\).