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Pertanyaan

Diketahui rumus fungsi f ( x ) = a x + b . Diagram panah dari fungsi f ( x ) disajikan seperti gambar berikut. Tentukan: b. nilai m dan n;

 Diketahui rumus fungsi . Diagram panah dari fungsi  disajikan seperti gambar berikut. 

Tentukan:

b. nilai m dan n; 

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M. Mariyam

Master Teacher

Mahasiswa/Alumni Institut Pertanian Bogor

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Pembahasan

Diketahui rumus fungsi .Diagram panah dari fungsi disajikan seperti gambar berikut. Berdasarkan diagram panah di atas, diketahui ,maka sehingga rumus fungsi f(x) adalah . Berdasarkan diagram panah di atas, diketahui , maka Jadi, nilai m dan n adalah .

Diketahui rumus fungsi begin mathsize 14px style f open parentheses x close parentheses equals a x plus b end style. Diagram panah dari fungsi begin mathsize 14px style f open parentheses x close parentheses end style disajikan seperti gambar berikut. 

Berdasarkan diagram panah di atas, diketahui begin mathsize 14px style straight f open parentheses 2 close parentheses equals 3 space dan space straight f open parentheses negative 3 close parentheses equals 13 end style, maka

size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px a size 14px x size 14px plus size 14px b size 14px f size 14px left parenthesis size 14px 2 size 14px right parenthesis size 14px equals size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px 2 size 14px a size 14px plus size 14px b size 14px equals size 14px 3 size 14px f size 14px left parenthesis size 14px minus size 14px 3 size 14px right parenthesis size 14px equals bottom enclose size 14px minus size 14px 3 size 14px a size 14px plus size 14px b size 14px equals size 14px 13 size 14px space end enclose size 14px minus size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px 5 size 14px a size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px equals size 14px minus size 14px 10 size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px a size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px equals size 14px minus size 14px 2 size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px 2 size 14px a size 14px plus size 14px b size 14px equals size 14px 3 size 14px space size 14px 2 begin mathsize 14px style left parenthesis negative 2 right parenthesis end style size 14px plus size 14px b size 14px equals size 14px 3 size 14px space size 14px space size 14px space size 14px space size 14px space size 14px minus size 14px 4 size 14px plus size 14px b size 14px equals size 14px 3 size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px b size 14px equals size 14px 7  

sehingga rumus fungsi f(x) adalah size 14px f size 14px left parenthesis size 14px x size 14px right parenthesis size 14px equals size 14px minus size 14px 2 size 14px x size 14px plus size 14px 7

Berdasarkan diagram panah di atas, diketahui begin mathsize 14px style f left parenthesis 8 right parenthesis equals m space dan space f left parenthesis n right parenthesis equals 5 end style, maka

size 14px f begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px minus size 14px 2 size 14px x size 14px plus size 14px 7 size 14px f begin mathsize 14px style left parenthesis 8 right parenthesis end style size 14px equals size 14px minus size 14px 2 begin mathsize 14px style left parenthesis 8 right parenthesis end style size 14px plus size 14px 7 size 14px space size 14px space size 14px space size 14px m size 14px equals size 14px minus size 14px 16 size 14px plus size 14px 7 size 14px space size 14px space size 14px space size 14px m size 14px equals size 14px minus size 14px 9 size 14px f begin mathsize 14px style left parenthesis x right parenthesis end style size 14px equals size 14px minus size 14px 2 size 14px x size 14px plus size 14px 7 size 14px f begin mathsize 14px style left parenthesis n right parenthesis end style size 14px equals size 14px minus size 14px 2 size 14px n size 14px plus size 14px 7 size 14px 5 size 14px equals size 14px minus size 14px 2 size 14px n size 14px plus size 14px 7 size 14px 2 size 14px n size 14px equals size 14px 7 size 14px minus size 14px 5 size 14px 2 size 14px n size 14px equals size 14px 2 size 14px n size 14px equals size 14px 1 

Jadi, nilai m dan n adalah begin mathsize 14px style negative 9 space dan space 1 end style.

 

 

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Emillia astria

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