Exponential Functions and e^x Graph

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2015-01-16 06:33

This example demonstrates the graph of the exponential function e^x and its variation patterns. Core math concepts include exponential functions, the natural logarithm base e, and the symmetry and growth characteristics of function graphs. GeoGebra commands/objects used: a, f, A, B, C, D, E, F, G, H, I, J, K, g, b, text2, text1_3, text1_1, text1, text1_2. Suitable for high school mathematics teaching, helping students understand the properties of exponential functions and the meaning of e, ideal for exploratory learning.

GeoGebra Commands & Parameters

Numeric a(2.0)
f(x) = a^(x)
(1, f(1))
(2, f(2))
(0, f(0))
(3, f(3))
(4, f(4))
(5, f(5))
(-1, f(-1))
((-2), f((-2)))
((-3), f((-3)))
((-4), f((-4)))
((-5), f((-5)))
g(x) = ℯ^(x)
Boolean b(false)