A

1003028406

Level: 
A
Suppose the function \( f \) is given completely by the next table. \[ \begin{array}{|c|c|c|c|c|c|c|c|}\hline x&-3&-2&-1&0&1&2&3 \\\hline y&-4&4&-4&4&-4&4&-4 \\\hline \end{array} \] Which of the following statements about the range of the function \( f \) is true?
\( H(f)=\{-4, 4\} \)
\( H(f)=\{-3,-2,-1,0,1,2,3\} \)
\( H(f)=[-4,4] \)
\( H(f)=(-4,4) \)

1003028405

Level: 
A
Suppose the function \( f \) is given completely by the next table. \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline x&-2&-1& 0&1&2&3&4\\\hline y&0&1&0&2&3&5&4 \\\hline \end{array} \] Which of the following statements about the domain of the function \( f \) is true?
\( D(f)=\{-2, -1,0,1,2,3,4\} \)
\( D(f)=\{0,1,2,3,4,5\} \)
\( D(f)=\{-2,-1,0,1,2,3,4,5\} \)
\( D(f)=[-2,4] \)

1103020804

Level: 
A
In the parallelogram \( ABCD \) shown in the picture, \( G \) is the midpoint of \( CD \), \( F \) is the midpoint of \( BC \) and \( \vec{u}=\overrightarrow{CG} \), \( \vec{v}=\overrightarrow{CF} \), \( \vec{a}=\overrightarrow{AD} \) and \( \vec{b}=\overrightarrow{AC} \). Express vectors \( \vec{a} \) and \( \vec{b} \) as a linear combination of vectors \( \vec{u} \) and \( \vec{v} \).
\( \vec{a}=-2\vec{v},\ \vec{b}=-2\vec{u}-2\vec{v} \)
\( \vec{a}=\vec{b}+2\vec{u},\ \vec{b}=-2\vec{u}+2\vec{v} \)
\( \vec{a}=\vec{b}-2\vec{u},\ \vec{b}=-\sqrt2\vec{u}-\sqrt2\vec{v} \)
\( \vec{a}=-2\vec{v},\ \vec{b}=2\vec{u}+2\vec{v} \)

1103020801

Level: 
A
Find the coordinates of the midpoints of the line segments \( AB \), \( BC \), \( AC \). For coordinates of the points \( A \), \( B \) and \( C \), see the picture.
\( S_{AB}=\left[-\frac12,1 \right]\text{, }\ S_{BC}=[4,2 ]\text{, }\ S_{AC}=\left[\frac12, 4\right] \)
\( S_{AB}=\left[-\frac32,2 \right]\text{, }\ S_{BC}=[1,3 ]\text{, }\ S_{AC}=\left[\frac52, 4\right] \)
\( S_{AB}=\left[\frac12,1 \right]\text{, }\ S_{BC}=[4,2 ]\text{, }\ S_{AC}=\left[-\frac12, 4\right] \)
\( S_{AB}=\left[1,-\frac12 \right]\text{, }\ S_{BC}=[2,4 ]\text{, }\ S_{AC}=\left[4,\frac12\right] \)