3. Two marks example problems II

1. If \(A = \{-2, -1, 0, 1, 2\}\) and \(f: A \rightarrow B\) is an onto function defined by \(f(x) = x^2 + x + 1\), then find \(B\).

 

Answer:

 

\(B\) \(=\)

 

[Note: Insert your answer with \(\{\}\) bracket.]

 

 

2. Define \(f\) as a function from \(\mathbb{R}\) to \(\mathbb{R}\) defined by \(f(x) = 3x - 5\). Find the values of \(a\) and \(b\) given that \((a, 4)\) and \((1, b)\) belongs to \(f\).

 

Answer:

 

\(a\) \(=\)

 

\(b\) \(=\)