Parametrik grafiklar va ko‘rsatkichli funksiya
Javoblar ota-onalar va o‘qituvchilar uchun.
1
x = 2t − 1, y = t + 5 dan t ni yo‘qotib, x va y orasidagi bog‘lanishni toping.
2y = x + 11
2
x = 3 + 2 cos t, y = −1 + 2 sin t qanday chiziq? Markazi va radiusini ayting.
Aylana (x − 3)² + (y + 1)² = 4: markazi (3; −1), radiusi 2.
3
Qaysi biri katta: (2/3)^(1/2) yoki (2/3)^(1/3)?
(2/3)^(1/3)
4
9^(3/2) ni hisoblang.
27
5
y = 2 − (1/2)ˣ funksiya o‘suvchimi yoki kamayuvchimi? Sababini tushuntiring.
O‘suvchi: (1/2)ˣ kamayuvchi, uni ayirganda tengsizlik teskari bo‘ladi: x₁ < x₂ da (1/2)^x₁ > (1/2)^x₂, demak 2 − (1/2)^x₁ < 2 − (1/2)^x₂.