2.2 Concept of a function, domain, range and inverseIB Maths: Applications and Interpretation SL: Mind map

Exam questions on 2.2 Concept of a function, domain, range and inverse

1. A function is defined by $f(x)=\sqrt{x-3}$.
   Find the value of $x$ for which $f(x)=4$.2 marks
2. A taxi company charges a fixed fee of 12 AED plus 2.5 AED for each kilometre travelled. The cost, $C$ AED, of a journey of $n$ km is modelled by $C(n)=12+2.5n$, for $n\ge0$.
   Find the value of $C^{-1}(100)$, giving the units of your answer.2 marks
3. The function $g$ is defined by $g(x)=2x+5$ for $-1\le x\le4$.
   Find the range of $g$.3 marks