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Tentukan range  jika domain  adalah . Gambarkan gr...

Tentukan range begin mathsize 14px style f space colon space x rightwards arrow 4 x minus 3 end style jika domain begin mathsize 14px style f end style adalah begin mathsize 14px style D subscript f equals open curly brackets x vertical line minus 8 less than x less or equal than 9 comma space x element of double-struck B close curly brackets end style. Gambarkan grafiknya!

Jawaban:

Dengan cara substitusi, range fungsi begin mathsize 14px style f space colon space x rightwards arrow 4 x minus 3 end style pada interval begin mathsize 14px style D subscript f equals open curly brackets x vertical line minus 8 less than x less or equal than 9 comma space x element of double-struck B close curly brackets end style dapat ditentukan sebagai berikut.

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell f open parentheses negative 7 close parentheses end cell equals cell 4 open parentheses negative 7 close parentheses minus 3 equals negative 31 end cell row cell f open parentheses negative 6 close parentheses end cell equals cell 4 open parentheses negative 6 close parentheses minus 3 equals negative 27 end cell row cell f open parentheses negative 5 close parentheses end cell equals cell 4 open parentheses negative 5 close parentheses minus 3 equals negative 23 end cell row cell f open parentheses negative 4 close parentheses end cell equals cell 4 open parentheses negative 4 close parentheses minus 3 equals negative 19 end cell row cell f open parentheses negative 3 close parentheses end cell equals cell 4 open parentheses negative 3 close parentheses minus 3 equals negative 15 end cell row cell f open parentheses negative 2 close parentheses end cell equals cell 4 open parentheses negative 2 close parentheses minus 3 equals negative 11 end cell row cell f open parentheses negative 1 close parentheses end cell equals cell 4 open parentheses negative 1 close parentheses minus 3 equals negative 7 end cell row cell f open parentheses 0 close parentheses end cell equals cell 4 open parentheses 0 close parentheses minus 3 equals negative 3 end cell row cell f open parentheses 1 close parentheses end cell equals cell 4 open parentheses 1 close parentheses minus 3 equals 1 end cell row cell f open parentheses 2 close parentheses end cell equals cell 4 open parentheses 2 close parentheses minus 3 equals 5 end cell row cell f open parentheses 3 close parentheses end cell equals cell 4 open parentheses 3 close parentheses minus 3 equals 9 end cell row cell f open parentheses 4 close parentheses end cell equals cell 4 open parentheses 4 close parentheses minus 3 equals 13 end cell row cell f open parentheses 5 close parentheses end cell equals cell 4 open parentheses 5 close parentheses minus 3 equals 17 end cell row cell f open parentheses 6 close parentheses end cell equals cell 4 open parentheses 6 close parentheses minus 3 equals 21 end cell row cell f open parentheses 7 close parentheses end cell equals cell 4 open parentheses 7 close parentheses minus 3 equals 25 end cell row cell f open parentheses 8 close parentheses end cell equals cell 4 open parentheses 8 close parentheses minus 3 equals 29 end cell row cell f open parentheses 9 close parentheses end cell equals cell 4 open parentheses 9 close parentheses minus 3 equals 33 end cell end table end style 

Jadi, range fungsi begin mathsize 14px style f space colon space x rightwards arrow 4 x minus 3 end style pada interval begin mathsize 14px style D subscript f equals open curly brackets x vertical line minus 8 less than x less or equal than 9 comma space x element of double-struck B close curly brackets end style adalah begin mathsize 14px style R subscript f equals open curly brackets y vertical line minus 31 less or equal than y less or equal than 33 comma space y element of double-struck B close curly brackets end style.

Selanjutnya, dengan membuat plot pasangan berurutan domain dan range, diperoleh grafik fungsi begin mathsize 14px style f space colon space x rightwards arrow 4 x minus 3 end style sebagai berikut.


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