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Unit 5 Vocab

TermDefinition
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) = abx , where a and b are real numbers with a ≠ 0, b > 0, and b ≠ 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) = abx 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) = abx, 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 graph left or right, with no change in the shape of the graph.
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.
Recursive Relationship A sequence in which one or more previous terms are used to generate the next term.
Vertical Translation A shift of the graph up or down, with no change in the shape of the graph.
Zero Exponent For any nonzero real number x, x0 = 1.
Created by: user-1961849
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