Asosiy tarkibga o'tish

6.2-bo'lim : Logarifm funktsiyalari

21. \(g\left( x \right) = - \ln \left( x \right)\) grafigini chizing.

Yechim

Ushbu muammo uchun biz qilishimiz kerak bo'lgan yagona narsa - eslash Transformatsiyalar bir necha bobdan oldingi qism. \(f\left( x \right) = \ln \left( x \right)\) ning “asosiy” funksiyasidan foydalanib, ushbu qism uchun funksiya quyidagicha yozilishi mumkin:

\[g\left( x \right) = - \ln \left( x \right) = - f\left( x \right)\]

Shuning uchun, bu qism uchun grafik faqat \(x\-axis.

The graph of this function is shown below. The blue dashed line is the “base” function, \(f\left( x \right)\) haqida aks ettirilgan \(f\left( x \right)\) grafigi va qizil qattiq chiziq bu qismning grafigi, \(g\left( x \right)\).

The graph of \(g\left( x \right) = - \ln \left( x \right)\). The blue dashed line is the “base” function \(f\left( x \right) = \ln \left( x \right)\) and the solid red line is \(g\left( x \right)\), which is the graph of \(f\left( x \right)\) reflected about the x-axis. The dashed graph increases from far below as \(x\) approaches zero from the right while the solid graph comes down from far above, and the two cross at \(\left( {1,0} \right)\).