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Unit 5 Math Vocab
Extra Credit
Term | Definition |
---|---|
Arithmetic Sequence | a sequence whose successive terms result from addition of a common difference, d |
Asymptote | a line that a graph gets closer to as the value of a variable becomes extremely large or small |
Base | the value of b in a function of the form f(x) = ab^x , where a and b are real numbers with a ≠ 0, b > 0, and b ≠ 1 |
Compound Interest | interest earned or paid on both the principal and previously earned interest. |
Compression | multiplying a function by a positive constant between 0 and 1 |
Constraint | a limitation on the possible values of variables in a model, often expressed by an equation or inequality or by specifying that the value must be an integer |
End Behavior | the trends in the y-values of a function as the x-values approach positive and negative infinity |
Exponential Decay | an exponential function of the form f(x) = ab^x in which 0 < b < 1. If r is the rate of decay, then the function can be written y = a(1 - r )t , where a is the initial amount and t is the time. |
Exponential Function | a function of the form f(x) = ab^x, where a and b are real numbers with a ≠ 0, b > 0, and b ≠ 1 |
Exponential Growth | an exponential function of the form f(x) = abx in which b > 1. If r is the rate of growth, then the function can be written y = a(1 + r )t , where a is the initial amount and t is the time |
Geometric Sequence | a sequence whose successive terms result from multiplication of a constant ratio, r, where r ≠ 0 and r ≠ 1 |
Horizontal Translation | a shift of the parabola left or right, with no change in the shape of the parabola |
Infinity | the concept of something that is unlimited, endless, without bound, ∞ |
Interval Notation | a way of writing subsets of the real number line using endpoints, parentheses, and/or brackets |
Parameter | one of the constants in a function or equation that may be changed. Also the third variable in a set of parametric equations. |
Recursive Relationship | a sequence in which one or more previous terms are used to generate the next term |
Simple Interest | a fixed percent of the principal |
Stretch | multiplying a function by a positive constant greater than 1 |
Vertical Translation | a shift of the parabola up or down, with no change in the shape of the parabola |
Zero Exponent | for any nonzero real number x, x0 = 1 |