Chiziqli funksiya
y=kx funktsiyaning grafigi k ning istalgan qiymatida koordinata boshidan o‘tuvchi to‘g‘ri chiziqdan iborat. y=kx funktsiyaning grafigini yasash uchun grafikning ikkita nuqtasini yasab, ushbu nuqtalardan to‘g‘ri chiziq o‘tkazish kerak (1-rasm).
y=kx+b ko‘rinishdagi funktsiyaga chiziqli funktsiya deyiladi, bu yerda k va b – berilgan sonlar. y=kx+b funktsiyaning grafigi y=kx funktsiya grafigini ordinatalar o‘qi bo‘ylab b birlik siljitish yo‘li bilan xosil qilinadi. y=kx va y=kx+b funktsiyalarning grafiklari o‘zaro parallel to‘g‘ri chiziqlardir (2-rasm).
![](data:image/png;base64,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)
1-rasm. 2-rasm.
Misol: fuktsiyaning grafigi A(-7,-12) nuqtadan o‘tishi ma’lum bo‘lsa k ning qiymatini toping.
Yechish: masala shartiga ko‘ra A nuqta berilgan funktsiyani qanoatlantiradi, ya’ni:
Misol: fuktsiyaning grafigi V(-2,4) nuqtadan o‘tishi ma’lum bo‘lsa, b ning qiymatini toping.
Do'stlaringiz bilan baham: |