A

2000005104

Level: 
A
Find the inverse function to the function given by listing the points \( [x,f(x)]\). \[ f= \{[1,2],[2,3],[3,4],[4,5],[5,6]\} \]
\( f^{-1}= \{[2,1],[3,2],[4,3],[5,4],[6,5]\} \)
\( f^{-1}= \{[-1,-2],[-2,-3],[-3,-4],[-4,-5],[-5,-6]\} \)
\( f^{-1}= \left\{\left[1,\frac{1}{2}\right],\left[\frac{1}{2},\frac{1}{3}\right],\left[\frac{1}{3},\frac{1}{4}\right],\left[\frac{1}{4},\frac{1}{5}\right],\left[\frac{1}{5},\frac{1}{6}\right]\right\}\)
\(f^{-1}\) does not exist

2000005101

Level: 
A
Which of the given tables can define a function \(f\)?
\(\begin{array}{|c|c|c|c|c|c|c|} \hline x&1 &4& -2&-3&-1&2 \\\hline f(x) &3&3&1&1&1&3\\ \hline\end{array}\)
\(\begin{array}{|c|c|c|c|c|c|c|} \hline x&-4 &-2& 0&-2&4&6 \\\hline f(x) &1&1&1&2&1&1\\ \hline\end{array}\)
\(\begin{array}{|c|c|c|c|c|c|c|} \hline x&1 &4& -2&-3&1&2 \\\hline f(x) &-5&1&-2&1&3&6\\ \hline\end{array}\)
\(\begin{array}{|c|c|c|c|c|c|c|} \hline x&1 &2& -2&-3&1&2 \\\hline f(x) &-1&0&2&3&-1&-2\\ \hline\end{array}\)