7. Two marks example problems IV

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:

 

$a$ $=$

 

$b$ $=$