(i)[1]
State the range for $f$.
(ii)[2]
Copy the diagram, then on your copy sketch the graph of $y = f^{-1}(x)$.
(iii)[4]
Obtain formulae for $f^{-1}(x)$, and state the set of $x$ values for which each formula is valid.
Mathematics 9709 · AS & A Level · Functions
Functions — practice question
The diagram represents the function $f$ on $0 \leq x \leq 6$, with $x \mapsto \frac{1}{2}x^2$ for $0 \leq x \leq 2$ and $x \mapsto \frac{1}{2}x + 1$ for $2 < x \leq 6$.