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Fungsi f(x)=∣x−3∣ dengan f:A∈R, jika A={x∣−5≤x≤3, x∈B}. Tentukan daerah hasilnya!

Pertanyaan

Fungsi begin mathsize 14px style f open parentheses x close parentheses equals vertical line x minus 3 vertical line end style dengan begin mathsize 14px style f colon A element of R end style, jika begin mathsize 14px style A equals open curly brackets x vertical line minus 5 less or equal than x less or equal than 3 comma space x element of B close curly brackets end style. Tentukan daerah hasilnya!

I. Roy

Master Teacher

Mahasiswa/Alumni Universitas Negeri Surabaya

Jawaban terverifikasi

Pembahasan

begin mathsize 14px style f left parenthesis x right parenthesis equals vertical line x minus 3 vertical line f open parentheses negative 5 close parentheses equals vertical line minus 5 minus 3 vertical line equals 8 f open parentheses negative 4 close parentheses equals vertical line minus 4 minus 3 vertical line equals 7 f open parentheses negative 3 close parentheses equals vertical line minus 3 minus 3 vertical line equals 6 f open parentheses negative 2 close parentheses equals vertical line minus 2 minus 3 vertical line equals 5 f open parentheses negative 1 close parentheses equals vertical line minus 1 minus 3 vertical line equals 4 f open parentheses 0 close parentheses equals vertical line 0 minus 3 vertical line equals 3 f open parentheses 1 close parentheses equals vertical line 1 minus 3 vertical line equals 2 f open parentheses 2 close parentheses equals vertical line 2 minus 3 vertical line equals 1 f open parentheses 3 close parentheses equals vertical line 3 minus 3 vertical line equals 0 end style  

Range = begin mathsize 14px style open curly brackets 0 comma space 1 comma space 2 comma space 3 comma space 4 comma space 5 comma space 6 comma space 7 comma space 8 close curly brackets end style 

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