| Exam Board | OCR MEI |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Composite & Inverse Functions |
| Type | State domain or range |
| Difficulty | Easy -1.2 This question tests basic recall of even/odd function definitions and straightforward verification by substitution. Part (i) requires stating f(-x) = f(x) and symmetry about the y-axis (pure recall). Part (ii) involves simple algebraic checks with no problem-solving required—all three examples use standard functions where the even/odd property is immediately apparent from basic manipulation. |
| Spec | 1.02u Functions: definition and vocabulary (domain, range, mapping) |
\begin{enumerate}[label=(\roman*)]
\item State the algebraic condition for the function f(x) to be an even function.
What geometrical property does the graph of an even function have? [2]
\item State whether the following functions are odd, even or neither.
(A) $\text{f}(x) = x^2 - 3$
(B) $\text{g}(x) = \sin x + \cos x$
(C) $\text{h}(x) = \frac{1}{x + x^3}$ [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C3 Q6 [5]}}