Exponential Function Graph and Properties: Monotonicity
Properties: - When a > 1, the function y = a^x is monotonically increasing. - When 0 < a < 1, the function y = a^x is monotonically decreasing. Explanation: Th…
Syllabus path: Functions › Basic Elementary Functions › Exponential Functions
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CSCA Mathematics Formula Reference
Formula and explanation
Properties: - When a > 1, the function y = a^x is monotonically increasing. - When 0 < a < 1, the function y = a^x is monotonically decreasing. Explanation: The size of the base a determines whether the function increases or decreases. This is key to understanding the graph and trend of exponential functions.
Related tutorial and examples
Exponential Functions
Exponential Functions 1. Core Concepts Definition: A function y = a^x, where x is the variable, base a is a constant, a > 0, a eq 1. Why limit the base? If a < 0, values like a^(1/2) are undefined in real numbers. If a = 1, y = 1 is just a constant line. - - - 2. Graphs and Prope…
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