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Fungsi f ( x ) = 5 x − ∣ 2 x − 8 ∣ jika diubah ke dalam fungsi uraian menjadi ...

Fungsi  jika diubah ke dalam fungsi uraian menjadi ...

  1. f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell negative 3 x plus 5 comma space x greater or equal than 4 end cell row cell 2 x plus 10 comma space x less than 4 end cell end table close 

  2. f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell 5 x plus 3 comma space x greater or equal than 4 end cell row cell 2 x minus 6 comma space x less than 4 end cell end table close  

  3. f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell negative 3 x plus 5 comma space x less or equal than 3 end cell row cell 2 x plus 10 comma space x greater than 3 end cell end table close  

  4. f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell 5 x plus 3 comma space x less or equal than 3 end cell row cell 2 x minus 6 comma space x greater than 3 end cell end table close   

  5. f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell 3 x plus 8 comma space x greater or equal than 4 end cell row cell 5 minus 2 x comma space x less than 2 end cell end table close 

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E. Lestari

Master Teacher

Mahasiswa/Alumni Universitas Sebelas Maret

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tidak ada jawaban yang benar.

tidak ada jawaban yang benar.

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Pembahasan

Ingat definisi nilai mutlak Dari definisi diatas fungsi diuraikan menjadi: untuk untuk Oleh karena itu, tidak ada jawaban yang benar.

Ingat definisi nilai mutlak

open vertical bar x close vertical bar equals open curly brackets table attributes columnalign left end attributes row cell x comma space space space jika space x greater or equal than 0 end cell row cell negative x comma space jika space x less than 0 end cell end table close 

Dari definisi diatas fungsi f left parenthesis x right parenthesis equals 5 x minus open vertical bar 2 x minus 8 close vertical bar diuraikan menjadi:

rightwards arrow untuk x greater or equal than 0 

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x minus 8 end cell greater or equal than 0 row cell 2 x end cell greater or equal than 8 row x greater or equal than 4 end table

table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell 5 x minus left parenthesis 2 x minus 8 right parenthesis end cell row blank equals cell 5 x minus 2 x plus 8 end cell row blank equals cell 3 x plus 8 end cell end table 

rightwards arrow untuk x less than 0 

table attributes columnalign right center left columnspacing 0px end attributes row cell 2 x minus 8 end cell less than 0 row cell 2 x end cell less than 8 row x less than 4 end table 

table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell 5 x minus left parenthesis negative left parenthesis 2 x minus 8 right parenthesis right parenthesis end cell row blank equals cell 5 x minus left parenthesis negative 2 x plus 8 right parenthesis end cell row blank equals cell 5 x plus 2 x minus 8 end cell row blank equals cell 7 x minus 8 end cell end table  

Jadi comma space f left parenthesis x right parenthesis equals open curly brackets table attributes columnalign left end attributes row cell 3 x plus 8 comma space x greater or equal than 4 end cell row cell 7 x minus 8 comma space x less than 4 end cell end table close 

Oleh karena itu, tidak ada jawaban yang benar.

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