| Exam Board | SPS |
|---|---|
| Module | SPS SM (SPS SM) |
| Year | 2022 |
| Session | October |
| Marks | 4 |
| Topic | Exponential Functions |
| Type | Sketch exponential graphs |
| Difficulty | Easy -1.2 This question tests basic exponential function knowledge: sketching a simple exponential decay curve and solving a straightforward inequality by converting to the same base (27 = 3³). Both parts are routine recall and standard technique with minimal problem-solving 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 |
\begin{enumerate}[label=(\alph*)]
\item Sketch the curve $y = 3^{-x}$ [2]
\item Solve the inequality $3^{-x} < 27$ [2]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS SM 2022 Q1 [4]}}