Contoh Soal Mid Semester Genap Kelas X Matematika Wajib Materi Fungsi

\begin{array}{ll}\\ 1.&\textrm{Diketahui himpunan pasangan bilangan berurutan dari sebuah relasi}\\ &\left \{ (2,3).(1,4),(2,5),(3,5) \right \}.\: \textrm{Daerah kawandari relasi tersebut adalah}....\\ &\textrm{A}.\quad \left \{ 1,2,3 \right \}\\ &\textrm{B}.\quad \left \{ 3,4,5 \right \}\\ &\textrm{C}.\quad \left \{ 1,2,3,4,5 \right \}\\ &\textrm{D}.\quad \textrm{himpunan bilangan bulat}\\ &\textrm{E}.\quad \textrm{himpunan bilangan asli}\\\\ &\textrm{Jawab}:\qquad \textbf{B}\\ &\begin{aligned}\textrm{Daerah kawan}&=\textrm{daerah kodomain fungsi}\\ K_{f}&=\left \{ 3,4,5 \right \} \end{aligned} \end{array}



\begin{array}{ll}\\ 3.&\textrm{Himpunan pasangan berurutan yang ditunjukkan oleh fungsi}\\ &f:x\rightarrow 2-(x+1)^{2} \: \: \textrm{dari domain}\: \: \left \{ -1,0,1,2 \right \}\: \: \textrm{adalah}....\\ &\textrm{A}.\quad \left \{ (-1,2),(0,3),(1,5),(2,7) \right \}\\ &\textrm{B}.\quad \left \{ (-1,2),(0,1),(1,-2),(2,-7) \right \}\\ &\textrm{C}.\quad \left \{ (-1,1),(0,-1),(1,-4),(2,7) \right \}\\ &\textrm{D}.\quad \left \{ (-1,0),(0,3),(1,-2),(2,7) \right \}\\ &\textrm{E}.\quad \left \{ (-1,0),(0,-4),(1,5),(2,-7) \right \}\\\\ &\textrm{Jawab}:\qquad \textbf{B}\\ &\begin{aligned}f:x\rightarrow &2-(x+1)^{2},\quad \textrm{ini artinya}\: \: f(x)=2-(x+1)^{2}\\ \textrm{untuk}&\\ f(x)&=2-(x+1)^{2}\\ \textrm{maka}&\\ f(-1)&=2-(-1+1)^{2}=2-0=2\\ f(0)&=2-(0+1)^{2}=2-1=1\\ f(1)&=2-(1+1)^{2}=2-4=-2\\ f(2)&=2-(2+1)^{2}=2-9=-7 \end{aligned} \end{array}
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