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math vocab
exponential function | a function whose value is a constant raised to the power of the argument, with the parent function of f(x)=A (multiplied) B x(coeffient) |
initial value, a | starting value when x=0 |
base, b | growth rate; can be percentage or factor |
exponential growth | growth whose rate becomes ever more rapid in proportions in the growing total number or size; occurs when b>1 |
growth factor, b-1 | used with percentage |
exponential decay | growth whose rate becomes ever more rapid in proportions to the growing total number or size; occurs when b>1 |
decay rate, 1-b | used with percentages |
natural base, e | Euler's number, equivalent to approximately 2.7182818 |
transformation | the movement or shift in shape of a function |
domain | the set of all possible input values for the function |
range | all the output values of a function |
interval of continuity | a function defined at every point on the interval |
interval of increasing | as the input increases, the output increase on the interval |
interval of decreasing | as the inputs increase, the outputs decrease on the interval |
horizontal asymptote | a horizontal line that a function approaches but never touches; has the equation y= |
vertical asymptote | a vertical line that a function approaches but never touches; has the equation x= |
end behavior | the value a function approaches as x approaches positive or negative infinity |
limit notation | the use of symbols to represent the value a function approaches |
Function notation | a relation in which every input results in one and only one output usually denoted with F(x), G(x), and other letters |
radical function | F(x)=(square root)x |
radicand | the value under the square root |
rational function | F(x)=1/x |
denominator restriction | domain values that render a rational expression undefined |
square root (even root) restriction | domain values that render a square root function undefined |