Interactive resource
Exponential function
Functions. y = aˣ: a > 1 increasing, 0 < a < 1 decreasing, always through (0, 1). Free interactive GeoGebra resource — adjust parameters in the browser.
Overview
y = aˣ: a > 1 increasing, 0 < a < 1 decreasing, always through (0, 1).
Explanation
Exponential y = aˣ with a > 0, a ≠ 1.
a > 1 increasing; 0 < a < 1 decreasing; always through (0, 1); x-axis is an asymptote.
y = aˣ and y = (1/a)ˣ are reflections across the y-axis.
How to use
Change base a; compare a and 1/a for y-axis symmetry.