Exponential functions are of the form: f(x) = bx, b > 0, b ≠ 1.
Drag the slider to see the graph of the exponential function for different values of b.
For a and b positive, a ≠ 1, b ≠ 1, and x and y real,
|axay = ax + y||ax/ay = ax - y||(ax)y = axy||(ab)x = axbx||(a/b)x = ax/bx|
ax = ayif and only ifx = y.
b = 2
The number e can be approximated by (1 + 1/x)x for large values of x.
Drag the slider to see the value of this expression for different values of x.
The exponential function with base e is defined by
The exponential function with base 1/e is defined by
x = 1