Let \(A = \{-2, 2\}\) and \(B = \{0, 4\}\). If the function \(f : A \rightarrow B\) defined by \(f(x) = ux + v\) is an onto function? Find \(u\) and \(v\).
Solution:
\(f(-2) =\) - - - - - (I)
\(f(2) =\) - - - - - (II)
From the given data, we have \(f(-2) =\) and \(f(2) =\)
Solving equation (I) and (II),
\(u\) \(=\)
\(v\) \(=\)