Asosiy tarkibga o'tish

1.10-bo'lim : Umumiy grafiklar

9. Grafik kalkulyatordan foydalanmasdan \(R\left( x \right) = - \sqrt x \) grafigini chizing.

Yechim

Asosiy algebraik o'zgarishlarni eslang. Agar biz \(f\left( x \right)\) grafigini bilsak, \( - f\left( x \right)\) grafigi oddiygina \(f\left( x \right)\) ning \(x\) o'qida aks ettirilgan grafigi bo'ladi.

Shunday qilib, bizning holatlarimizda \(f\left( x \right) = \sqrt x \), biz buni ko'rishimiz mumkin,

\[R\left( x \right) = - \sqrt x = - f\left( x \right)\]

va shuning uchun bizdan eskiz qilishimiz so'ralayotgan grafik \(x\) o'qida aks ettirilgan kvadrat ildiz funktsiyasining grafigi.

Mana \(R\left( x \right) = - \sqrt x \) grafigi (qattiq egri chiziq) va o'zgarishlarni ko'rishga yordam berish uchun biz \(f\left( x \right) = \sqrt x \) (chiziqli egri chiziq) grafigida ham chizganmiz.

The graph of \(R\left( x \right) = - \sqrt x \), drawn as a solid red curve, along with the graph of \(f\left( x \right) = \sqrt x \), drawn as a dashed gray curve, for \(0 \le x \le 4\). Both curves start at the origin. The graph of \(f\left( x \right)\) increases to (4,2) while the graph of \(R\left( x \right)\) decreases to (4,-2), so the graph of \(R\left( x \right)\) is the graph of \(f\left( x \right)\) reflected about the \(x\)-axis.