Exponential & Logarithms (Edexcel A-Level Mathematics): Flashcards

$y = a \cdot b^x$ where $a$ is initial value, $b$ is base.

It represents exponential growth.

It represents exponential decay.

All real numbers, $x \in \mathbb{R}$.

Typically $y = 0$, the $x$-axis.

The base $e$, approximately $2.718$.

$y = a \cdot b^x + c$ shifts the graph vertically by $c$.

$y = y_0 \cdot e^{kt}$ is the exponential growth formula.

$y = y_0 \cdot e^{-kt}$ where $k > 0$.

Population growth, radioactive decay, finance.