Graph of Exponential Function and the Base
Key Points: When a > 1, the function y = a^x is monotonically increasing; when 0 < a < 1, it is monotonically decreasing. All exponential function graphs pass…
Syllabus path: Functions › Basic Elementary Functions › Exponential Functions
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CSCA Mathematics Formula Reference
Formula and explanation
Key Points: When a > 1, the function y = a^x is monotonically increasing; when 0 < a < 1, it is monotonically decreasing. All exponential function graphs pass through the point (0, 1). The formula itself is not the focus, but this property is key to understanding the function's behavior.
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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