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Chapter 6
Exponential Equations and Functions
Term | Definition |
---|---|
Square Root | If b² = a, then b is a square root of a. the radical sign √, represents a nonnegative square root |
Radical Sign | the symbol √ which is used to represent a square root |
Radicand | the number or expression under a radical sign |
Square Root Equation | an equation that contains a square root with a variable in the radicand |
closed | A set of numbers is closed under an operation when the operation performed on any two numbers in the set results in a number that is also in the set. |
nth root | when b to the n power equals a for an integer n greater than 1 b would be an nth root of a. |
Exponential function | a function of the form y=ab^x, where a doesn't equal 0, b doesn't equal 0, and b>0 |
Exponential growth | When a quantity increases by the same factor over equal intervals of time |
Exponential Growth function | a function of the form y=(1 + r)^1, where a>0 and r>0 |
Compound Interest | Interest earned on the principal and on previously earned interest |
Exponential Decay | When a quantity decreases by the same factor over equal intervals of time |
Exponential Decay Function | A function of the form y = a(1-r)⁺, where a > 0 and 0 < r < 1 |