I BOB. Hosila va uning tatbiqlari — 1-2. O'zgaruvchi miqdorlar orttirmalarining nisbati va uning ma'nosi. Urinma ta'rifi. Funksiya orttirmasi — 11-sinf Algebra test savollari

1.$y=f(x)$ funksiya [a;b] oraliqda o'zgarishining o'rtacha tezligi qanday formula bilan topiladi?

• A)$\frac{f(a)-f(b)}{b-a}$
• B)$\frac{f(b)-f(a)}{b-a}$
• C)$\frac{f(b)+f(a)}{b-a}$
• D)$\frac{f(b)-f(a)}{a-b}$

2.$f(x)=x^2$ funksiyaning $[1;3]$ oraliqdagi o'rtacha o'zgarish tezligini toping.

• A)$2$
• B)$6$
• C)$8$
• D)$4$

3.$f(x)=x^2-5x$ funksiyaning $[2;5]$ oraliqdagi o'rtacha o'zgarish tezligini toping.

• A)$2$
• B)$-2$
• C)$6$
• D)$3$

4.$h=b-a$ deb belgilansa, funksiya o'zgarishining o'rtacha tezligi qaysi ko'rinishda yoziladi?

• A)$\frac{f(a)-f(a+h)}{h}$
• B)$\frac{f(a+h)}{h}$
• C)$\frac{f(a+h)-f(a)}{h}$
• D)$\frac{f(a)+h}{h}$

5.Moddiy nuqta $s(t)=t^2$ qonuni bilan harakatlanmoqda. $t=1$ dan $t=4$ gacha bo'lgan oraliqdagi o'rtacha tezlikni toping.

• A)$3$
• B)$5$
• C)$15$
• D)$4$

6.$f(x)=3x^2$ funksiyaning $[1;2]$ oraliqdagi o'rtacha o'zgarish tezligini toping.

• A)$3$
• B)$12$
• C)$6$
• D)$9$

7.$f(x)=x^3$ funksiyaning $[0;2]$ oraliqdagi o'rtacha o'zgarish tezligini toping.

• A)$4$
• B)$8$
• C)$2$
• D)$6$

8.$f(x)=x^2+1$ funksiyaning $[-1;1]$ oraliqdagi o'rtacha o'zgarish tezligini toping.

• A)$2$
• B)$1$
• C)$0$
• D)$-1$

9.$f(x)=\frac{1}{x}$ funksiyaning $[1;2]$ oraliqdagi o'rtacha o'zgarish tezligini toping.

• A)$\frac{1}{2}$
• B)$-\frac{1}{2}$
• C)$1$
• D)$-1$

10.Moddiy nuqta $s(t)=t^2+2t$ qonuni bilan harakatlanmoqda. $[1;3]$ oraliqdagi o'rtacha tezlikni toping.

• A)$4$
• B)$8$
• C)$10$
• D)$6$