Graphs of exponential functions (AQA GCSE Further Maths): Flashcards

Variable appears as exponent

$a^x$ where $a$ = base, $x$ = variable

(0, 1)

$a^0 = 1$ for any $a > 0$

Base > 1; y increases rapidly as x increases

As x increases, y decreases toward zero

Reflection across y-axis

Population growth, radioactive decay, compound interest

Initial amount

Exponential (var in exponent) vs power (var in base)

Positive exponent = growth, negative = decay

$y = 2^x$