C

1003030402

Level: 
C
Suppose function \( f \) is given completely by the next table. \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline x&-3&-2&-1&0&1&2&3 \\\hline f(x)&-1&2&-3&1&-2&3&2 \\\hline \end{array}\] Identify which of the following statements is true.
The inverse of \( f \) does not exist.
The inverse of \( f \) is function \( h \), which is given completely by the next table. \( \begin{array}{|c|c|c|c|c|c|c|c|} \hline x&-1&2&-3&1&-2&3&2 \\\hline h(x)&-3&-2&-1&0&1&2&3 \\\hline \end{array} \)
The inverse of \( f \) is function \( g \), which is given completely by the next table. \( \begin{array}{|c|c|c|c|c|c|c|c|} \hline x&-3&-2&-1&0&1&2&3 \\\hline g(x)&1&-2&3&-1&2&-3&-2 \\\hline \end{array}\)
The inverse of \( f \) is function \( m \), which is given completely by the next table. \( \begin{array}{|c|c|c|c|c|c|c|c|} \hline x&3&2&1&0&-1&-2&-3 \\\hline m(x)&1&-2&3&-1&2&-3&-2 \\\hline \end{array}\)

1003030401

Level: 
C
Suppose function \( f \) is given completely by the next table. \[ \begin{array}{|c|c|c|c|c|c|c|c|} \hline x&-3&-2&-1&0&1&2&3 \\\hline f(x)&-1&0&1&2&3&4&5 \\\hline \end{array}\] Identify which of the following functions is the inverse of \( f \).
Function \( h \), which is given completely by the next table. \( \begin{array}{|c|c|c|c|c|c|c|c|} \hline x&-1&0&1&2&3&4&5 \\\hline h(x)&-3&-2&-1&0&1&2&3 \\\hline \end{array}\)
Function \( m \), which is given completely by the next table. \(\begin{array}{|c|c|c|c|c|c|c|c|} \hline x&-3&-2&-1&0&1&2&3 \\\hline m(x)&5&4&3&2&1&0&-1 \\\hline \end{array}\)
Function \( g \), such that \( g(x)=x-2 \) for \( x\in[-1;5] \).
Function \( n \), such that \( n(x)=x+2 \) for \( x\in[-3;3] \).

1003024111

Level: 
C
The equation of a parabola is given by \( y^2 -12x -6y+57=0 \). Find the equation of a line, which passes through the vertex of this parabola and is parallel to the line \( 5x-3y-2=0 \).
\( 5x-3y-11 = 0 \)
\( -5x+3y-11 = 0 \)
\( 5x-3y-3 = 0 \)
\( 5x-3y+11 = 0 \)
\(-5x+3y-3 = 0 \)
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