Exponential Functions (HSC SSCE Mathematics Advanced): Flashcards

$y = k(a^x)$ where $k$ = initial amt, $a$ = growth factor

$a > 1$

$0 < a < 1$

$y = 0$

$k$ (when $x = 0$, $y = k imes a^0 = k$)

$2.718$

It equals its own derivative

$1$

Situations with constant growth/decay factors

As $x \to \infty$, $y \to \infty$