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Pertanyaan

begin mathsize 14px style F open parentheses x close parentheses equals 3 plus 2 x minus x squared end style, dan begin mathsize 14px style 0 less or equal than x less or equal than 4 end style, maka begin mathsize 14px style R subscript f equals end style....

  1. begin mathsize 14px style open curly brackets right enclose y minus 4 less or equal than y less or equal than 4 close curly brackets end style 

  2. begin mathsize 14px style open curly brackets right enclose y minus 5 less or equal than y less or equal than 4 close curly brackets end style 

  3. begin mathsize 14px style open curly brackets right enclose y minus 3 less or equal than y less or equal than 4 close curly brackets end style 

  4. begin mathsize 14px style open curly brackets right enclose y minus 4 less or equal than y less or equal than less or equal than 5 close curly brackets end style 

  5. begin mathsize 14px style open curly brackets right enclose y minus 2 less or equal than y less or equal than 4 close curly brackets end style 

Pembahasan Soal:

begin mathsize 14px style F left parenthesis x right parenthesis equals 3 plus 2 x minus x squared end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row a equals cell negative 1 end cell row b equals 2 row c equals 3 end table end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell x subscript max end cell equals cell fraction numerator negative b over denominator 2 a end fraction end cell row blank equals cell fraction numerator negative 2 over denominator 2 open parentheses negative 1 close parentheses end fraction end cell row cell x subscript max end cell equals 1 end table end style 

karena batasnya begin mathsize 14px style 0 less or equal than x less or equal than 4 end style maka nilai begin mathsize 14px style x end style nya begin mathsize 14px style 0 comma space 1 comma space 4 end style 

Substitusikan begin mathsize 14px style x equals 0 comma space x equals 1 comma space x equals 4 end style ke persamaan begin mathsize 14px style f open parentheses x close parentheses equals 3 plus 2 x minus x squared end style 

untuk begin mathsize 14px style x equals 0 end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell 3 plus 2 x minus x squared end cell row cell f left parenthesis 0 right parenthesis end cell equals cell 3 plus 2 open parentheses 0 close parentheses minus open parentheses 0 close parentheses squared end cell row cell f left parenthesis 0 right parenthesis end cell equals 3 end table end style

untuk begin mathsize 14px style x equals 1 end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses x close parentheses end cell equals cell 3 plus 2 x minus x squared end cell row cell f open parentheses 1 close parentheses end cell equals cell 3 plus 2 open parentheses 1 close parentheses minus open parentheses 1 close parentheses squared end cell row blank equals cell 3 plus 2 minus 1 end cell row cell f open parentheses 1 close parentheses end cell equals 4 end table end style 

untuk begin mathsize 14px style x equals 4 end style 

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f left parenthesis x right parenthesis end cell equals cell 3 plus 2 x minus x squared end cell row cell f left parenthesis 4 right parenthesis end cell equals cell 3 plus 2 open parentheses 4 close parentheses minus open parentheses 4 close parentheses squared end cell row blank equals cell 3 plus 8 minus 16 end cell row cell f left parenthesis 4 right parenthesis end cell equals cell negative 5 end cell end table end style 

Range untuk undefined adalah begin mathsize 14px style negative 5 less or equal than y less or equal than 4 end style 

Oleh karena itu, jawaban yang benar adalah B.

Pembahasan terverifikasi oleh Roboguru

Terakhir diupdate 13 Maret 2021

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