tentukan range dan Himpunan
Matematika
FamzLoccos
Pertanyaan
tentukan range dan Himpunan
1 Jawaban
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1. Jawaban ErikCatosLawijaya
Mapel : Matematika
Kelas : VIII SMP
Bab : Fungsi
Pembahasan :
f(x) = 2x + 3
f(0) = 2(0) + 3 = 3
f(1) = 2(1) + 3 = 5
f(2) = 2(2) + 3 = 7
f(3) = 2(3) + 3 = 9
f(4) = 2(4) + 3 = 11
f(5) = 2(5) + 3 = 13
Daerah Hasil = {3,5,7,9,11,13}
——————————————
f(x) = x² - 1
f(-2) = (-2)² - 1 = 3
f(-1) = (-1)² - 1 = 0
f(0) = 0² - 1 = -1
f(1) = 1² - 1 = 0
f(2) = 2² - 1 = 3
Daerah Hasil = {-1 , 0 , 3}
——————————————
f(x) = 3x - 4
f(-1) = 3(-1) - 4 = -7
f(0) = 3(0) - 4 = -4
f(1) = 3(1) - 4 = -1
f(2) = 3(2) - 4 = 2
f(3) = 3(3) - 4 = 5
Daerah Hasil = {-7 , -4 , -1 , 2 , 5}
——————————————
f(x) = 5x + x²
f(-2) = 5(-2) + (-2)² = -6
f(-1) = 5(-1) + (-1)² = -4
f(0) = 5(0) + 0² = 0
f(1) = 5(1) + 1² = 6
f(2) = 5(2) + 2² = 14
f(3) = 5(3) + 3² = 24
f(4) = 5(4) + 4² = 36
Daerah Hasil = {-6 , -4 , 0 , 6 , 14 , 24 , 36}