Introduction to Exponential Functions definitions Flashcards
Introduction to Exponential Functions definitions
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Exponential Function A mathematical relationship where a constant base is raised to a variable exponent, producing rapid growth or decay. Polynomial Function An expression involving variables raised to whole number powers, with the variable in the base rather than the exponent. Base A constant positive number, not equal to 1, that is repeatedly multiplied in an exponential expression. Exponent A value, often a variable, indicating how many times the base is used as a factor in repeated multiplication. Variable A symbol, such as x or y, representing a quantity that can change within a mathematical expression. Constant A fixed value that does not change, often serving as the base in exponential functions. Fractional Base A base expressed as a fraction, allowed in exponential functions if it is constant and positive. Negative Exponent An exponent less than zero, resulting in the reciprocal of the base raised to the corresponding positive power. Caret Key A calculator symbol (^) used to indicate exponentiation, allowing entry of powers for computation. Evaluation The process of substituting specific values for variables in a function to determine its output. Growth A pattern in exponential functions where values increase rapidly as the exponent increases. Decay A pattern in exponential functions where values decrease rapidly, often when the base is between 0 and 1. Power The complete expression in the exponent, which may include variables and constants, indicating the degree of exponentiation. Reciprocal A value obtained by inverting a number, commonly resulting from negative exponents in exponential expressions. Parentheses Symbols used in calculations to group terms, ensuring correct order of operations when entering exponents.
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