91Ó°ÊÓ

Graph each of the basic functions. $$ g(x)=x^{2} $$

Use matrices to solve the system. \(\left\\{\begin{array}{l}w+x+y+z=0 \\ w-2 x+y-3 z=-3 \\ 2 w+3 x+y-2 z=-1 \\\ 2 w-2 x-2 y+z=-12\end{array}\right.\)

Graph each of the basic functions. $$ h(x)=x^{3} $$

Solve each system by any method. If a system is inconsistent or if the equations are dependent, so indicate. $$ \left\\{\begin{array}{l} 4(x-2)=-9 y \\ 2(x-3 y)=-3 \end{array}\right. $$

Use Cramer's rule to solve system of equations. If a system is inconsistent or if the equations are dependent, so indicate. \(\left\\{\begin{array}{l}2 x+3 y+4 z=6 \\ 2 x-3 y-4 z=-4 \\ 4 x+6 y+8 z=12\end{array}\right.\)

Solve each system by any method. If a system is inconsistent or if the equations are dependent, so indicate. $$ \left\\{\begin{array}{l} 2(2 x+3 y)=5 \\ 8 x=3(1+3 y) \end{array}\right. $$

Graph each of the basic functions. $$ S(x)=x $$

Use Cramer's rule to solve system of equations. If a system is inconsistent or if the equations are dependent, so indicate. \(\left\\{\begin{array}{l}x-3 y+4 z-2=0 \\ 2 x+y+2 z-3=0 \\ 4 x-5 y+10 z-7=0\end{array}\right.\)

Use a calculator with matrix capabilities. Evaluate determinant. See Using Your Calculator: Evaluating Determinants. \(\left|\begin{array}{rrr}25 & -36 & 44 \\ -11 & 21 & 54 \\ 37 & -31 & 19\end{array}\right|\)

Solve each system by any method. If a system is inconsistent or if the equations are dependent, so indicate. $$ \left\\{\begin{array}{l} 0.3 a+0.1 b=0.5 \\ \frac{4}{3} a+\frac{1}{3} b=3 \end{array}\right. $$