| Exam Board | OCR MEI |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Year | 2015 |
| Session | June |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Exponential Functions |
| Type | Sketch exponential graphs |
| Difficulty | Moderate -0.8 This is a straightforward question requiring basic exponential graph sketching (recognizing that 3^(2x) grows faster) and solving a simple exponential equation by recognizing 729 = 3^6. Both parts are routine applications of standard techniques with no problem-solving insight required, making it easier than average. |
| Spec | 1.06a Exponential function: a^x and e^x graphs and properties1.06g Equations with exponentials: solve a^x = b |
6 (i) On the same axes, sketch the curves $y = 3 ^ { x }$ and $y = 3 ^ { 2 x }$, identifying clearly which is which.\\
(ii) Given that $3 ^ { 2 x } = 729$, find in either order the values of $3 ^ { x }$ and $x$.
\hfill \mbox{\textit{OCR MEI C2 2015 Q6 [5]}}