BECE Mathematics 2020 Paper

Concept:A mapping rule is correct if it gives the given output values for all corresponding input values.Explanation:Check each option by substituting the input values of $x$.For the mapping, the known pairs are $1 \to 2$, $2 \to 5$, $3 \to 10$, and $4 \to 17$.Test option C: $x \mapsto x^2+1$.When $x=1$, $1^2+1=1+1=2$.When $x=2$, $2^2+1=4+1=5$.When $x=3$, $3^2+1=9+1=10$.When $x=4$, $4^2+1=16+1=17$.All the output values match the given mapping.The other options do not satisfy all the pairs.Answer:The rule for the mapping is $x \mapsto x^2+1$.Correct option: C.