ShapeofGraphPtI - 2-masala yechimi | MathModel.uz

4.5-bo'lim : Grafik shakli, I qism

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

$The graph of a function on $0 \le x \le 9.5$. The graph rises steeply from below the x-axis, crosses the x-axis at the origin and continues up to a peak at approximately $\left( {1,4} \right)$. It then decreases to a valley at approximately $\left( {4, - 2} \right)$, then increases again, flattening out into a short nearly level stretch at about $y = 2$ between $x = 7$ and $x = 8.5$, and then rises to approximately $\left( {9.5,3} \right)$ at the right end.$

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.

\[\require{bbox} \bbox[2pt,border:1px solid black]{{{\mbox{Increasing : }}\left( { - \infty ,1} \right),\,\,\,\,\,\left( {4,8} \right)\,\,\,\& \,\,\,\left( {8,\infty } \right)\hspace{0.25in}\hspace{0.25in}{\mbox{Decreasing : }}\,\,\left( {1,4} \right)}}\]

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.