Relations, mappings and function notationIB MYP Maths Extended: Mind map

Exam questions on Relations, mappings and function notation

1. A function is defined by $f(x)=3x-4$.
   Find $f(2a)$, giving your answer in its simplest form.2 marks
2. Two relations are given as mappings. Relation $R$ maps $1\to4$, $2\to5$, $3\to5$ and $3\to6$. Relation $S$ maps $1\to4$, $2\to5$, $3\to5$ and $4\to5$.
   Change one pair in $R$ so that it becomes a function, and explain why your new relation is a function.2 marks
3. A taxi company in Doha charges according to the rule $C(d)=5+2d$, where $C(d)$ is the cost in Qatari riyals (QAR) of a journey of $d$ kilometres.
   (i) Find $C(12)$. (ii) Solve $C(d)=33$ and state what your answer means.3 marks