Asosiy tarkibga o'tish

4.5-bo'lim : Grafik shakli, I qism

1. Quyida funksiya grafigi berilgan. Funksiyaning ortishi va kamayishi oraliqlarini aniqlang.

The graph of a function on \( - 5 \le x \le 9\). Starting at approximately \(\left( { - 5,4} \right)\) the graph decreases to a valley at approximately \(\left( { - 3, - 1} \right)\), then increases to a peak at approximately \(\left( {1,2} \right)\), then decreases the whole way down to a valley at approximately \(\left( {7, - 5} \right)\) and finally increases to approximately \(\left( {9, - 2} \right)\) at the right end.
Yechim

Yechim

Haqiqatan ham bu muammo uchun juda ko'p narsa yo'q. Grafikdan funksiya qayerda ortib/kamayayotganini osonlik bilan ko‘rishimiz mumkin, shuning uchun biz qilishimiz kerak bo‘lgan yagona narsa intervallarni yozishdir.

\[\require{bbox} \bbox[2pt,border:1px solid black]{{{\mbox{Increasing : }} \left( { - 3,1} \right)\,\,\,\ \& \,\,\,\left( {7,\infty } \right)\hspace{0.25in}\hspace{0.25in}{\mbox{Decreasing : }} \left( { - \infty , - 3} \right)\,\,\,\, \& \,\,\,\,\left( {1,7} \right)}}\]

Shuni ham yodda tutingki, biz oxirgi nuqtalarni intervalga kiritmaymiz. Bu muammo uchun bu muhim, chunki oxirgi nuqtalarda biz cheksizlikdamiz yoki funktsiya o'smaydi yoki kamaymaydi.