8. y = x2 funksiyaning grafigini millimetrli qog`ozda yasang. Grafik bo`yicha:
1) x = 0,8; x = 1,5; x = 1,9; x = –2,3; x = –1,5 bo`lganda y ning qiymatini taqriban toping.
2) agar y = 2; y = 3; y = 4,5; y = 6,5 bo`lsa, x ning qiymatini taqriban toping.
9. y = x2 funksuya grafigini yasamasdan: A(2; 6), B(–1; 1), C(12, 144), D(–3; –9) nuqtalardan qaysilari parabolaga tegishli bo`lishini aniqlang.
10.
(Og’zaki.)
A(3; 9), B(–5; 25), C(4, 15), D(
;
9) nuqtalarga ordinatalar o`qiga nisbatan
simmetrik bo`lgan nuqtalarni toping. Bu nuqtalar
y = x2
funksiyaning grafigiga tegishli bo`ladimi?
11. (Og`zaki.) y = x2 funksiyaning qiymatlarini
12.
1)
x
= 2,5 va
y =
;
2) x = 0,4
va y = 0,3;
3) x = –0,2 va y = –0,1; 4) x = 4,1 va y = –5,2
bo`lganda taqqoslang.
13. y = x2 parabolaning:
1) y = 25; 2) y = 5; 3) y = –x;
4) y = 2x; 5) y = 3 – 2x; 6) y = 2x – 1
to`g`ri chiziq bilan kesishish nuqtalrining koordinatalarini toping.
14. A nuqta y = x2 parabola bilan
1) y = –x – 6, A(–3; 9); 2) y = 5x – 6, A(2; 4)
to`g`ri chiziqning kesishish nuqtasi bo`ladimi?
15. Tasdiq to`g`rimi: y = x2 funksiya:
1) [1; 4] kesmada; 2) (2; 5) intervalda;
3) x > 3 intervalda; 4) [–3; 4] kesmada o`sadi?
16. Bitta koordinata tekisligida y = x2 parabola bilan y = 3 to`g`ri chiziqni yasang. x ning qanday qiymatlarida parabolaning nuqtalari to`g`ri chiziqdan yuqorida bo`ladi; pastda bo`ladi?
17. x ning qanday qiymatlarida y = x2 funksiyaning qiymat:
1) 9 dan katta; 2) 25 dan katta emas; 3) 16 dan kichik emas; 4) 36 dan kichik emas.