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Diketahui  dengan domain  dan kodomain bilangan bu...

Diketahui begin mathsize 14px style f colon x rightwards arrow x squared minus 2 x plus 3 end style dengan domain begin mathsize 14px style open curly brackets right enclose x minus 2 less or equal than x less or equal than 4 comma space x element of Bilangan space bulat close curly brackets end style dan kodomain bilangan bulat. 

c. Tentukan range begin mathsize 14px style f end style!

Jawaban:

Karena diketahui undefined dengan domain undefined maka dapat ditentukan rumus fungsi dan domian fungsi begin mathsize 14px style italic f end style yaitu:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell italic f left parenthesis italic x right parenthesis end cell equals cell italic x squared minus sign 2 italic x plus 3 end cell row cell italic D subscript italic f end cell equals cell left curly bracket minus sign 2 comma space minus sign 1 comma space 0 comma space 1 comma space 2 comma space 3 comma space 4 right curly bracket end cell end table end style

Sehingga dapat ditentukan range fungsi sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row x equals cell negative 2 rightwards arrow f left parenthesis negative 2 right parenthesis equals open parentheses negative 2 close parentheses squared minus 2 open parentheses negative 2 close parentheses plus 3 equals 11 end cell row x equals cell negative 1 rightwards arrow f left parenthesis negative 1 right parenthesis equals open parentheses negative 1 close parentheses squared minus 2 open parentheses negative 1 close parentheses plus 3 equals 6 end cell row x equals cell 0 rightwards arrow f left parenthesis 0 right parenthesis equals open parentheses 0 close parentheses squared minus 2 open parentheses 0 close parentheses plus 3 equals 3 end cell row x equals cell 1 rightwards arrow f left parenthesis 1 right parenthesis equals open parentheses 1 close parentheses squared minus 2 open parentheses 1 close parentheses plus 3 equals 2 end cell row x equals cell 2 rightwards arrow f left parenthesis 2 right parenthesis equals open parentheses 2 close parentheses squared minus 2 open parentheses 2 close parentheses plus 3 equals 3 end cell row x equals cell 3 rightwards arrow f left parenthesis 3 right parenthesis equals open parentheses 3 close parentheses squared minus 2 open parentheses 3 close parentheses plus 3 equals 6 end cell row x equals cell 4 rightwards arrow f left parenthesis 4 right parenthesis equals open parentheses 4 close parentheses squared minus 2 open parentheses 4 close parentheses plus 3 equals 11 end cell end table end style 

Dengan demikian, range undefined adalah begin mathsize 14px style R subscript f equals open curly brackets 2 comma space 3 comma space 6 comma space 11 close curly brackets end style

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