| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2013 |
| Session | January |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Exponential Functions |
| Type | Sketch exponential graphs |
| Difficulty | Moderate -0.8 This is a straightforward exponential question requiring basic graph sketching (standard exponential curve through (0,1)) and a routine logarithm application. Part (ii) involves taking logs of both sides and rearranging—a standard textbook exercise with no conceptual challenges beyond direct application of logarithm laws. |
| Spec | 1.06a Exponential function: a^x and e^x graphs and properties1.06g Equations with exponentials: solve a^x = b |
\begin{enumerate}[label=(\roman*)]
\item Sketch the graph of $y = 3^x$. [2]
\item Solve the equation $3^{3x-1} = 500000$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR MEI C2 2013 Q8 [5]}}