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Daerah hasil fungsi  adalah

Daerah hasil fungsi begin mathsize 14px style f open parentheses x close parentheses equals x squared minus 4 x minus 12 end style adalah begin mathsize 14px style horizontal ellipsis end style 

  1. begin mathsize 14px style open curly brackets y space vertical line space y greater or equal than 28 close curly brackets end style 

  2. begin mathsize 14px style open curly brackets y space vertical line space y less or equal than negative 16 close curly brackets end style 

  3. begin mathsize 14px style open curly brackets y space vertical line space y greater or equal than 16 close curly brackets end style 

  4. begin mathsize 14px style open curly brackets y space vertical line space y less or equal than 16 close curly brackets end style 

  5. begin mathsize 14px style open curly brackets y space vertical line space y greater or equal than negative 16 close curly brackets end style 

Jawaban:

begin mathsize 14px style f open parentheses x close parentheses equals x squared minus 4 x minus 12 end style dengan a = begin mathsize 14px style 1 end styleb = begin mathsize 14px style negative 4 end style, dan c = begin mathsize 14px style negative 12 end style.

Untuk mencari daerah hasil akan dicari nilai minimum fungsi kuadrat tersebut karena begin mathsize 14px style a greater than 0 end style dan kurva terbuka ke atas.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell y subscript m i n i m u m end subscript end cell equals cell fraction numerator negative D over denominator 4 a end fraction end cell row blank equals cell fraction numerator negative open parentheses b squared minus 4 a c close parentheses over denominator 4 a end fraction end cell row blank equals cell fraction numerator negative open parentheses open parentheses negative 4 close parentheses squared minus 4 open parentheses 1 close parentheses open parentheses negative 12 close parentheses close parentheses over denominator 4 cross times 1 end fraction end cell row blank equals cell fraction numerator negative open parentheses 16 plus 48 close parentheses over denominator 4 end fraction end cell row blank equals cell fraction numerator negative 64 over denominator 4 end fraction end cell row blank equals cell negative 16 end cell end table end style 

Sehingga daerah hasil (range)nya adalah semua bilangan real y yang lebih dari atau sama dengan begin mathsize 14px style negative 16 end style, ditulis begin mathsize 14px style R subscript f equals open curly brackets y space vertical line space y greater or equal than negative 16 comma space y element of R close curly brackets end style.

Maka, jawaban yang benar adalah E.

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